(x)+(x+2)=6-6(x+2)

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Solution for (x)+(x+2)=6-6(x+2) equation:


Simplifying
(x) + (x + 2) = 6 + -6(x + 2)
x + (x + 2) = 6 + -6(x + 2)

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

Remove parenthesis around (2 + x)
x + 2 + x = 6 + -6(x + 2)

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

Combine like terms: x + x = 2x
2 + 2x = 6 + -6(x + 2)

Reorder the terms:
2 + 2x = 6 + -6(2 + x)
2 + 2x = 6 + (2 * -6 + x * -6)
2 + 2x = 6 + (-12 + -6x)

Combine like terms: 6 + -12 = -6
2 + 2x = -6 + -6x

Solving
2 + 2x = -6 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
2 + 2x + 6x = -6 + -6x + 6x

Combine like terms: 2x + 6x = 8x
2 + 8x = -6 + -6x + 6x

Combine like terms: -6x + 6x = 0
2 + 8x = -6 + 0
2 + 8x = -6

Add '-2' to each side of the equation.
2 + -2 + 8x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = -6 + -2
8x = -6 + -2

Combine like terms: -6 + -2 = -8
8x = -8

Divide each side by '8'.
x = -1

Simplifying
x = -1

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