2(x-1)+6=10(1-x)-6

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Solution for 2(x-1)+6=10(1-x)-6 equation:


Simplifying
2(x + -1) + 6 = 10(1 + -1x) + -6

Reorder the terms:
2(-1 + x) + 6 = 10(1 + -1x) + -6
(-1 * 2 + x * 2) + 6 = 10(1 + -1x) + -6
(-2 + 2x) + 6 = 10(1 + -1x) + -6

Reorder the terms:
-2 + 6 + 2x = 10(1 + -1x) + -6

Combine like terms: -2 + 6 = 4
4 + 2x = 10(1 + -1x) + -6
4 + 2x = (1 * 10 + -1x * 10) + -6
4 + 2x = (10 + -10x) + -6

Reorder the terms:
4 + 2x = 10 + -6 + -10x

Combine like terms: 10 + -6 = 4
4 + 2x = 4 + -10x

Add '-4' to each side of the equation.
4 + -4 + 2x = 4 + -4 + -10x

Combine like terms: 4 + -4 = 0
0 + 2x = 4 + -4 + -10x
2x = 4 + -4 + -10x

Combine like terms: 4 + -4 = 0
2x = 0 + -10x
2x = -10x

Solving
2x = -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
2x + 10x = -10x + 10x

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

Combine like terms: -10x + 10x = 0
12x = 0

Divide each side by '12'.
x = 0

Simplifying
x = 0

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