-3(x-1)=2(x-4(x-2)+x)

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Solution for -3(x-1)=2(x-4(x-2)+x) equation:


Simplifying
-3(x + -1) = 2(x + -4(x + -2) + x)

Reorder the terms:
-3(-1 + x) = 2(x + -4(x + -2) + x)
(-1 * -3 + x * -3) = 2(x + -4(x + -2) + x)
(3 + -3x) = 2(x + -4(x + -2) + x)

Reorder the terms:
3 + -3x = 2(x + -4(-2 + x) + x)
3 + -3x = 2(x + (-2 * -4 + x * -4) + x)
3 + -3x = 2(x + (8 + -4x) + x)

Reorder the terms:
3 + -3x = 2(8 + x + -4x + x)

Combine like terms: x + -4x = -3x
3 + -3x = 2(8 + -3x + x)

Combine like terms: -3x + x = -2x
3 + -3x = 2(8 + -2x)
3 + -3x = (8 * 2 + -2x * 2)
3 + -3x = (16 + -4x)

Solving
3 + -3x = 16 + -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.
3 + -3x + 4x = 16 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
3 + 1x = 16 + 0
3 + 1x = 16

Add '-3' to each side of the equation.
3 + -3 + 1x = 16 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 16 + -3
1x = 16 + -3

Combine like terms: 16 + -3 = 13
1x = 13

Divide each side by '1'.
x = 13

Simplifying
x = 13

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