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

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


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

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

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

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

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

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

Reorder the terms:
2 + 1x = 3(-4 + x)
2 + 1x = (-4 * 3 + x * 3)
2 + 1x = (-12 + 3x)

Solving
2 + 1x = -12 + 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.
2 + 1x + -3x = -12 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
2 + -2x = -12 + 0
2 + -2x = -12

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

Combine like terms: 2 + -2 = 0
0 + -2x = -12 + -2
-2x = -12 + -2

Combine like terms: -12 + -2 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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