6+2(x-1)=4(x+1)-x

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Solution for 6+2(x-1)=4(x+1)-x equation: 


Simplifying
6 + 2(x + -1) = 4(x + 1) + -1x

Reorder the terms:
6 + 2(-1 + x) = 4(x + 1) + -1x
6 + (-1 * 2 + x * 2) = 4(x + 1) + -1x
6 + (-2 + 2x) = 4(x + 1) + -1x

Combine like terms: 6 + -2 = 4
4 + 2x = 4(x + 1) + -1x

Reorder the terms:
4 + 2x = 4(1 + x) + -1x
4 + 2x = (1 * 4 + x * 4) + -1x
4 + 2x = (4 + 4x) + -1x

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

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

Combine like terms: 4 + -4 = 0
0 + 2x = 4 + -4 + 3x
2x = 4 + -4 + 3x

Combine like terms: 4 + -4 = 0
2x = 0 + 3x
2x = 3x

Solving
2x = 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.
2x + -3x = 3x + -3x

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

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

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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