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 = 7x
-3 + 7x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
-3 + 7x = 2 + 0
-3 + 7x = 2

Add '3' to each side of the equation.
-3 + 3 + 7x = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 7x = 2 + 3
7x = 2 + 3

Combine like terms: 2 + 3 = 5
7x = 5

Divide each side by '7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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