12x+13=7x-7

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


Simplifying
12x + 13 = 7x + -7

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

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

Solving
13 + 12x = -7 + 7x

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = -4

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