-12=5(x-6)-7(x+2)

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Solution for -12=5(x-6)-7(x+2) equation:


Simplifying
-12 = 5(x + -6) + -7(x + 2)

Reorder the terms:
-12 = 5(-6 + x) + -7(x + 2)
-12 = (-6 * 5 + x * 5) + -7(x + 2)
-12 = (-30 + 5x) + -7(x + 2)

Reorder the terms:
-12 = -30 + 5x + -7(2 + x)
-12 = -30 + 5x + (2 * -7 + x * -7)
-12 = -30 + 5x + (-14 + -7x)

Reorder the terms:
-12 = -30 + -14 + 5x + -7x

Combine like terms: -30 + -14 = -44
-12 = -44 + 5x + -7x

Combine like terms: 5x + -7x = -2x
-12 = -44 + -2x

Solving
-12 = -44 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-12 + 2x = -44 + -2x + 2x

Combine like terms: -2x + 2x = 0
-12 + 2x = -44 + 0
-12 + 2x = -44

Add '12' to each side of the equation.
-12 + 12 + 2x = -44 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = -44 + 12
2x = -44 + 12

Combine like terms: -44 + 12 = -32
2x = -32

Divide each side by '2'.
x = -16

Simplifying
x = -16

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