Multiply both sides by any number you want. I'll pick 2
x = -3 turns into 2x = -6 after doing so
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Add anything you want to both sides. I'll pick 7
x = -3 turns into x+7 = 4 after doing so
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you can do a combination of both multiplication and addition, as long as you do the same thing to both sides. First I'll do multiplication. I'm going to multiply both sides by 2 first
x = -3 turns into 2x = -6
then I'm going to add 7 to both sides
2x = -6 turns into 2x+7 = 1
If you were to solve 2x+7 = -1, then you'd get to x = -3 again
As a check, replace x with -3 and we have...
2x+7 = 1
2(-3)+7 = 1
-6+7 = 1
1 = 1
we get a true statement, which helps confirm we have the right equation.