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

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


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

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

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

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

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

Solving
-2 + 5x = 4 + 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.
-2 + 5x + -3x = 4 + 3x + -3x

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

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

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

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

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

Divide each side by '2'.
x = 3

Simplifying
x = 3

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