10-(x-6)=3(x-8)+x

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Solution for 10-(x-6)=3(x-8)+x equation: 


Simplifying
10 + -1(x + -6) = 3(x + -8) + x

Reorder the terms:
10 + -1(-6 + x) = 3(x + -8) + x
10 + (-6 * -1 + x * -1) = 3(x + -8) + x
10 + (6 + -1x) = 3(x + -8) + x

Combine like terms: 10 + 6 = 16
16 + -1x = 3(x + -8) + x

Reorder the terms:
16 + -1x = 3(-8 + x) + x
16 + -1x = (-8 * 3 + x * 3) + x
16 + -1x = (-24 + 3x) + x

Combine like terms: 3x + x = 4x
16 + -1x = -24 + 4x

Solving
16 + -1x = -24 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
16 + -1x + -4x = -24 + 4x + -4x

Combine like terms: -1x + -4x = -5x
16 + -5x = -24 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -5x = -24 + 0
16 + -5x = -24

Add '-16' to each side of the equation.
16 + -16 + -5x = -24 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = -24 + -16
-5x = -24 + -16

Combine like terms: -24 + -16 = -40
-5x = -40

Divide each side by '-5'.
x = 8

Simplifying
x = 8

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