Solving One-Step Equations (Addition) | Algebraic Equations | Math with Mr. J

welcome to math with Mr J [Music] in this video I'm going to cover how to solve One Step addition equations now when we solve one-step equations we want to isolate the variable which means get it by itself 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 we do this by using the inverse or opposite operation keep in mind it is very important that whatever is done to one side of the equation it must be done to the other that keeps everything balanced and equal let's jump into number one where we have X plus 16 equals 28. now we need to isolate that variable of X we need to figure out what x equals since 16 is being added to X we need to undo that addition by using the inverse operation so the opposite operation the opposite of addition is subtraction so let's subtract 16 from the left side of the equation now whatever we do to one side of the equation we must do to the other in order to keep it balanced and equal so let's subtract 16 from the right side as well now on the left side of the equation we are adding 16 and subtracting 16. so these 16s are going to cancel out they equal zero so our X is isolated now it's all by itself x equals and then on the right side of the equation 28 minus 16 equals 12. so X equals 12. that's our solution now we can always check a solution by plugging it into the original equation so let's plug 12 in for x and see if this works so 12 Plus 16 equals 28 12 plus 16 does equal 28 so we have the correct solution x equals 12. let's move on to number two where we have 57 equals M plus 20. we need to isolate that variable of M 20 is being added to M so we need to undo that addition using the inverse operation the inverse of addition is subtraction so let's subtract 20 from this side of the equation now whatever we do to one side of the equation we must do to the other so let's subtract 20 from this side as well now on the right side of the equation we are adding 20 and subtracting 20. so these 20s cancel out they equal zero we are left with our isolated variable of M so m equals and then on the left side of the equation 57 minus 20 equals 37 so m equals 37 and we can rewrite this with the variable coming first m equals 37. let's check that Solution by plugging 37 in for m in the original equation so 57 equals 37 Plus 20. 37 plus 20 does equal 57 so we have the correct solution m equals 37 so there you have it there's how you solve One Step addition equations I hope that helped thanks so much for watching until next time peace