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

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


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

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

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

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

Solving
4 = -6 + 3x

Solving for variable 'x'.

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

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

Combine like terms: 3x + -3x = 0
4 + -3x = -6 + 0
4 + -3x = -6

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

Combine like terms: 4 + -4 = 0
0 + -3x = -6 + -4
-3x = -6 + -4

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

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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