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

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


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

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

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

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

Solving
-2 + 5x = 4 + 2x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '3'.
x = 2

Simplifying
x = 2

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