-12=6(1-x)+8(x-1)

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Solution for -12=6(1-x)+8(x-1) equation:


Simplifying
-12 = 6(1 + -1x) + 8(x + -1)
-12 = (1 * 6 + -1x * 6) + 8(x + -1)
-12 = (6 + -6x) + 8(x + -1)

Reorder the terms:
-12 = 6 + -6x + 8(-1 + x)
-12 = 6 + -6x + (-1 * 8 + x * 8)
-12 = 6 + -6x + (-8 + 8x)

Reorder the terms:
-12 = 6 + -8 + -6x + 8x

Combine like terms: 6 + -8 = -2
-12 = -2 + -6x + 8x

Combine like terms: -6x + 8x = 2x
-12 = -2 + 2x

Solving
-12 = -2 + 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 = -2 + 2x + -2x

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

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

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

Combine like terms: -2 + 12 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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