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

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


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

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

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

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

Reorder the terms:
1 + 3x = 2(-1 + 3x) + -1x
1 + 3x = (-1 * 2 + 3x * 2) + -1x
1 + 3x = (-2 + 6x) + -1x

Combine like terms: 6x + -1x = 5x
1 + 3x = -2 + 5x

Solving
1 + 3x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1 + 3x + -5x = -2 + 5x + -5x

Combine like terms: 3x + -5x = -2x
1 + -2x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + -2x = -2 + 0
1 + -2x = -2

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

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

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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