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

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


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

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

Combine like terms: 10 + 2 = 12
12 + -2x = 6 + x

Solving
12 + -2x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + -2x + -1x = 6 + x + -1x

Combine like terms: -2x + -1x = -3x
12 + -3x = 6 + x + -1x

Combine like terms: x + -1x = 0
12 + -3x = 6 + 0
12 + -3x = 6

Add '-12' to each side of the equation.
12 + -12 + -3x = 6 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = 6 + -12
-3x = 6 + -12

Combine like terms: 6 + -12 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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