7x+12=5(x-6)-8

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Solution for 7x+12=5(x-6)-8 equation:


Simplifying
7x + 12 = 5(x + -6) + -8

Reorder the terms:
12 + 7x = 5(x + -6) + -8

Reorder the terms:
12 + 7x = 5(-6 + x) + -8
12 + 7x = (-6 * 5 + x * 5) + -8
12 + 7x = (-30 + 5x) + -8

Reorder the terms:
12 + 7x = -30 + -8 + 5x

Combine like terms: -30 + -8 = -38
12 + 7x = -38 + 5x

Solving
12 + 7x = -38 + 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.
12 + 7x + -5x = -38 + 5x + -5x

Combine like terms: 7x + -5x = 2x
12 + 2x = -38 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + 2x = -38 + 0
12 + 2x = -38

Add '-12' to each side of the equation.
12 + -12 + 2x = -38 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = -38 + -12
2x = -38 + -12

Combine like terms: -38 + -12 = -50
2x = -50

Divide each side by '2'.
x = -25

Simplifying
x = -25

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