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

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


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

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

Solving
3 + -3x = -2 + 2x

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 0
3 + -5x = -2 + 0
3 + -5x = -2

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

Combine like terms: 3 + -3 = 0
0 + -5x = -2 + -3
-5x = -2 + -3

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

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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