-(x-8)=2(x-6)+10

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Solution for -(x-8)=2(x-6)+10 equation: 


Simplifying
-1(x + -8) = 2(x + -6) + 10

Reorder the terms:
-1(-8 + x) = 2(x + -6) + 10
(-8 * -1 + x * -1) = 2(x + -6) + 10
(8 + -1x) = 2(x + -6) + 10

Reorder the terms:
8 + -1x = 2(-6 + x) + 10
8 + -1x = (-6 * 2 + x * 2) + 10
8 + -1x = (-12 + 2x) + 10

Reorder the terms:
8 + -1x = -12 + 10 + 2x

Combine like terms: -12 + 10 = -2
8 + -1x = -2 + 2x

Solving
8 + -1x = -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.
8 + -1x + -2x = -2 + 2x + -2x

Combine like terms: -1x + -2x = -3x
8 + -3x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + -3x = -2 + 0
8 + -3x = -2

Add '-8' to each side of the equation.
8 + -8 + -3x = -2 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -2 + -8
-3x = -2 + -8

Combine like terms: -2 + -8 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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