7x-7=12x+13

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Solution for 7x-7=12x+13 equation:


Simplifying
7x + -7 = 12x + 13

Reorder the terms:
-7 + 7x = 12x + 13

Reorder the terms:
-7 + 7x = 13 + 12x

Solving
-7 + 7x = 13 + 12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12x' to each side of the equation.
-7 + 7x + -12x = 13 + 12x + -12x

Combine like terms: 7x + -12x = -5x
-7 + -5x = 13 + 12x + -12x

Combine like terms: 12x + -12x = 0
-7 + -5x = 13 + 0
-7 + -5x = 13

Add '7' to each side of the equation.
-7 + 7 + -5x = 13 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 13 + 7
-5x = 13 + 7

Combine like terms: 13 + 7 = 20
-5x = 20

Divide each side by '-5'.
x = -4

Simplifying
x = -4

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