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

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


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

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

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

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

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

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

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

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

Combine like terms: -1x + x = 0
-2 + 4x = -3 + 0
-2 + 4x = -3

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

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

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

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25

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