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

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


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

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

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

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

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

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

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

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

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

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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