2(x+2)=(5x-2)

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Solution for 2(x+2)=(5x-2) equation:


Simplifying
2(x + 2) = (5x + -2)

Reorder the terms:
2(2 + x) = (5x + -2)
(2 * 2 + x * 2) = (5x + -2)
(4 + 2x) = (5x + -2)

Reorder the terms:
4 + 2x = (-2 + 5x)

Remove parenthesis around (-2 + 5x)
4 + 2x = -2 + 5x

Solving
4 + 2x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + 2x + -5x = -2 + 5x + -5x

Combine like terms: 2x + -5x = -3x
4 + -3x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -3x = -2 + 0
4 + -3x = -2

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

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

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

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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