5x+(2x+11)=(3x-6)+9

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Solution for 5x+(2x+11)=(3x-6)+9 equation:


Simplifying
5x + (2x + 11) = (3x + -6) + 9

Reorder the terms:
5x + (11 + 2x) = (3x + -6) + 9

Remove parenthesis around (11 + 2x)
5x + 11 + 2x = (3x + -6) + 9

Reorder the terms:
11 + 5x + 2x = (3x + -6) + 9

Combine like terms: 5x + 2x = 7x
11 + 7x = (3x + -6) + 9

Reorder the terms:
11 + 7x = (-6 + 3x) + 9

Remove parenthesis around (-6 + 3x)
11 + 7x = -6 + 3x + 9

Reorder the terms:
11 + 7x = -6 + 9 + 3x

Combine like terms: -6 + 9 = 3
11 + 7x = 3 + 3x

Solving
11 + 7x = 3 + 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.
11 + 7x + -3x = 3 + 3x + -3x

Combine like terms: 7x + -3x = 4x
11 + 4x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + 4x = 3 + 0
11 + 4x = 3

Add '-11' to each side of the equation.
11 + -11 + 4x = 3 + -11

Combine like terms: 11 + -11 = 0
0 + 4x = 3 + -11
4x = 3 + -11

Combine like terms: 3 + -11 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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