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

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


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

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

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

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

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

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

Add '-2' to each side of the equation.
2 + -2 + -1x = -4 + -2

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

Combine like terms: -4 + -2 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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