12x+6=5x-22

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Solution for 12x+6=5x-22 equation:


Simplifying
12x + 6 = 5x + -22

Reorder the terms:
6 + 12x = 5x + -22

Reorder the terms:
6 + 12x = -22 + 5x

Solving
6 + 12x = -22 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 12x + -5x = -22 + 5x + -5x

Combine like terms: 12x + -5x = 7x
6 + 7x = -22 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + 7x = -22 + 0
6 + 7x = -22

Add '-6' to each side of the equation.
6 + -6 + 7x = -22 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = -22 + -6
7x = -22 + -6

Combine like terms: -22 + -6 = -28
7x = -28

Divide each side by '7'.
x = -4

Simplifying
x = -4

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