2(x-1)-10=3(x-4)-4x

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Solution for 2(x-1)-10=3(x-4)-4x equation:


Simplifying
2(x + -1) + -10 = 3(x + -4) + -4x

Reorder the terms:
2(-1 + x) + -10 = 3(x + -4) + -4x
(-1 * 2 + x * 2) + -10 = 3(x + -4) + -4x
(-2 + 2x) + -10 = 3(x + -4) + -4x

Reorder the terms:
-2 + -10 + 2x = 3(x + -4) + -4x

Combine like terms: -2 + -10 = -12
-12 + 2x = 3(x + -4) + -4x

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

Combine like terms: 3x + -4x = -1x
-12 + 2x = -12 + -1x

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

Combine like terms: -12 + 12 = 0
0 + 2x = -12 + 12 + -1x
2x = -12 + 12 + -1x

Combine like terms: -12 + 12 = 0
2x = 0 + -1x
2x = -1x

Solving
2x = -1x

Solving for variable 'x'.

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

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

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

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

Divide each side by '3'.
x = 0

Simplifying
x = 0

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