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

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


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

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

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

Solving
-3 + 3x = -2 + 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.
-3 + 3x + -4x = -2 + 4x + -4x

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

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

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

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

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

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

Simplifying
x = -1

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