x+(x+6)=3x+(x+6)+22

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Solution for x+(x+6)=3x+(x+6)+22 equation:


Simplifying
x + (x + 6) = 3x + (x + 6) + 22

Reorder the terms:
x + (6 + x) = 3x + (x + 6) + 22

Remove parenthesis around (6 + x)
x + 6 + x = 3x + (x + 6) + 22

Reorder the terms:
6 + x + x = 3x + (x + 6) + 22

Combine like terms: x + x = 2x
6 + 2x = 3x + (x + 6) + 22

Reorder the terms:
6 + 2x = 3x + (6 + x) + 22

Remove parenthesis around (6 + x)
6 + 2x = 3x + 6 + x + 22

Reorder the terms:
6 + 2x = 6 + 22 + 3x + x

Combine like terms: 6 + 22 = 28
6 + 2x = 28 + 3x + x

Combine like terms: 3x + x = 4x
6 + 2x = 28 + 4x

Solving
6 + 2x = 28 + 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.
6 + 2x + -4x = 28 + 4x + -4x

Combine like terms: 2x + -4x = -2x
6 + -2x = 28 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -2x = 28 + 0
6 + -2x = 28

Add '-6' to each side of the equation.
6 + -6 + -2x = 28 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 28 + -6
-2x = 28 + -6

Combine like terms: 28 + -6 = 22
-2x = 22

Divide each side by '-2'.
x = -11

Simplifying
x = -11

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