x+12=7x-8

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Solution for x+12=7x-8 equation:


Simplifying
x + 12 = 7x + -8

Reorder the terms:
12 + x = 7x + -8

Reorder the terms:
12 + x = -8 + 7x

Solving
12 + x = -8 + 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.
12 + x + -7x = -8 + 7x + -7x

Combine like terms: x + -7x = -6x
12 + -6x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -6x = -8 + 0
12 + -6x = -8

Add '-12' to each side of the equation.
12 + -12 + -6x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -6x = -8 + -12
-6x = -8 + -12

Combine like terms: -8 + -12 = -20
-6x = -20

Divide each side by '-6'.
x = 3.333333333

Simplifying
x = 3.333333333

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