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

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


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

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

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

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

Combine like terms: 2x + x = 3x
4 + 2x = -10 + 3x

Solving
4 + 2x = -10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + 2x + -3x = -10 + 3x + -3x

Combine like terms: 2x + -3x = -1x
4 + -1x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -1x = -10 + 0
4 + -1x = -10

Add '-4' to each side of the equation.
4 + -4 + -1x = -10 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -10 + -4
-1x = -10 + -4

Combine like terms: -10 + -4 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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