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 + x) + 6

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

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

Combine like terms: -2 + -6 = -8
-8 + 2x = 10(1 + x) + 6
-8 + 2x = (1 * 10 + x * 10) + 6
-8 + 2x = (10 + 10x) + 6

Reorder the terms:
-8 + 2x = 10 + 6 + 10x

Combine like terms: 10 + 6 = 16
-8 + 2x = 16 + 10x

Solving
-8 + 2x = 16 + 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.
-8 + 2x + -10x = 16 + 10x + -10x

Combine like terms: 2x + -10x = -8x
-8 + -8x = 16 + 10x + -10x

Combine like terms: 10x + -10x = 0
-8 + -8x = 16 + 0
-8 + -8x = 16

Add '8' to each side of the equation.
-8 + 8 + -8x = 16 + 8

Combine like terms: -8 + 8 = 0
0 + -8x = 16 + 8
-8x = 16 + 8

Combine like terms: 16 + 8 = 24
-8x = 24

Divide each side by '-8'.
x = -3

Simplifying
x = -3

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