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

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


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

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

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

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

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

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

Solving
10 + -1x = 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.
10 + -1x + -4x = 4x + -4x

Combine like terms: -1x + -4x = -5x
10 + -5x = 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -5x = 0

Add '-10' to each side of the equation.
10 + -10 + -5x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = 0 + -10
-5x = 0 + -10

Combine like terms: 0 + -10 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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