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

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


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

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

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

Solving
4 + 4x = -6 + 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.
4 + 4x + -6x = -6 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
4 + -2x = -6 + 0
4 + -2x = -6

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

Combine like terms: 4 + -4 = 0
0 + -2x = -6 + -4
-2x = -6 + -4

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

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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