x+(x+2)=2(x+(x+2))

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

Simplifying
x + (x + 2) = 2(x + (x + 2))

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

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

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

Combine like terms: x + x = 2x
2 + 2x = 2(x + (x + 2))

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

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

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

Combine like terms: x + x = 2x
2 + 2x = 2(2 + 2x)
2 + 2x = (2 * 2 + 2x * 2)
2 + 2x = (4 + 4x)

Solving
2 + 2x = 4 + 4x

Solving for variable 'x'.

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

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

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

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

Divide each side by '-2'.
x = -1

Simplifying
x = -1