welcome to math with Mr J [Music] in this video I'm going to cover how to solve One Step subtraction equations with negatives now when we solve one-step equations with negatives we solve them the same way we solve one-step equations that have only positives we want to isolate the variable which means get it by itself and we do this by using the inverse operation which means the opposite operation basically we want to undo whatever is being done to the variable that way the variable is by itself on one side of the equation and again we do this by using the inverse or opposite operation just remember whatever is done to one side of the equation it must be done to the other in order to keep everything balanced and equal let's jump into number one where we have J minus 14 equals negative 10. we need need to isolate that variable of J we need to figure out what J equals since 14 is being subtracted from J we need to undo that subtraction by using the inverse operation so the opposite operation the opposite of subtraction is addition so let's add 14 to the left side of the equation now whatever we do to one side of the equation we must do to the other so let's add 14 to the right side as well now on the left side we are subtracting 14 and adding 14. so these 14s cancel out they equal zero the variable is now isolated J Is Now by itself so we have J equals and then on the right side of the equation we have negative 10 plus 14. we are starting at negative 10 and increasing in value by 14 so we end up with positive Four J equals 4. now one thing I do want to mention we always have the option to come to the side in order to show work or set up a problem differently for example negative 10 plus 14 we solved vertically so up and down if you prefer to work through that horizontally you can always rewrite the problem off to the side so negative 10 plus 14 that equals four so you always have that option now J equals four that's our solution we can always check a solution and make sure it works by plugging it into the original equation so let's plug 4 in for J and see if this works so 4 minus 14. equals negative 10. 4 minus 14 does equal negative 10 so we have the correct solution J equals 4. let's move on to number two where we have 18 equals g minus negative three we need to isolate that variable of G negative 3 is being subtracted from G we need to undo that subtraction by using the inverse operation the inverse of subtraction is addition so let's add negative 3 to the right side of the equation whatever we do to one side we must do to the other so let's add negative three to the left side as well let's take a look at the right side of the equation now when we subtract a negative we are actually increasing in value so we are increasing G's value by three so by adding negative 3 to that side of the equation these cancel out and equal zero so our variable of G is now isolated so G equals and then on the left side of the equation 18 plus negative 3 equals 15. so g equals 15 and we can rewrite that with the variable coming first now if we look back up at the right side of the equation that can be a little confusing to think through because it looks like we have negative 3 plus negative 3 which would equal negative six not that zero which isolated our variable but keep in mind when we subtract a negative we increase in value so G is increasing in value by three by adding a negative 3 to that side of the equation we are canceling that increase out to equal zero and our variable was isolated here is an easier way to think about it whenever we subtract a negative we can think of this as adding a positive and remember when subtracting we can always add the opposite so this works out we can actually rewrite this as 18 equals g e plus three G plus a positive three because again we can add the opposite so add and then the opposite of negative 3 is positive 3. so you can always rewrite the equation if you're subtracting a negative to add a positive let's go through the Rewritten equation and see if we still get 15. we need to isolate G three is being added to G so let's undo that addition by using the inverse operation which is subtraction let's subtract 3 from the right side of the equation whatever we do to one side we must do to the other so subtract 3 from the left side as well on the right side we are adding three and subtracting three so these threes cancel out G is now isolated so G equals and then on the left side 18 minus 3 that equals fifteen so g equals 15 that way as well and I do want to mention one more time that we can always come to the side in order to show work or set up a problem differently for example let's do 18 plus negative 3 horizontally so side to side eighteen plus negative 3 18 plus negative 3 equals fifteen let's check that solution of 15 by plugging 15 in for G in the original equation and see if this works so we have 18 equals 15 minus negative 3. since we are subtracting a negative we are increasing in value 15 minus negative 3 does equal 18 and we can always add the opposite so add and then the opposite of negative 3 is positive 3. so 15 plus positive 3 gives us 18 as well we have the correct solution g equals 15. so there you have it there's how you solve One Step subtraction equations with negatives I hope that helped thanks so much for watching until next time peace