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

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


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

Reorder the terms:
2(-1 + 2x) = 3(1 + -2x)
(-1 * 2 + 2x * 2) = 3(1 + -2x)
(-2 + 4x) = 3(1 + -2x)
-2 + 4x = (1 * 3 + -2x * 3)
-2 + 4x = (3 + -6x)

Solving
-2 + 4x = 3 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-2 + 4x + 6x = 3 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-2 + 10x = 3 + -6x + 6x

Combine like terms: -6x + 6x = 0
-2 + 10x = 3 + 0
-2 + 10x = 3

Add '2' to each side of the equation.
-2 + 2 + 10x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + 10x = 3 + 2
10x = 3 + 2

Combine like terms: 3 + 2 = 5
10x = 5

Divide each side by '10'.
x = 0.5

Simplifying
x = 0.5

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