(3x+3)+(4x-16)+(2x+22)=180

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Solution for (3x+3)+(4x-16)+(2x+22)=180 equation:


Simplifying
(3x + 3) + (4x + -16) + (2x + 22) = 180

Reorder the terms:
(3 + 3x) + (4x + -16) + (2x + 22) = 180

Remove parenthesis around (3 + 3x)
3 + 3x + (4x + -16) + (2x + 22) = 180

Reorder the terms:
3 + 3x + (-16 + 4x) + (2x + 22) = 180

Remove parenthesis around (-16 + 4x)
3 + 3x + -16 + 4x + (2x + 22) = 180

Reorder the terms:
3 + 3x + -16 + 4x + (22 + 2x) = 180

Remove parenthesis around (22 + 2x)
3 + 3x + -16 + 4x + 22 + 2x = 180

Reorder the terms:
3 + -16 + 22 + 3x + 4x + 2x = 180

Combine like terms: 3 + -16 = -13
-13 + 22 + 3x + 4x + 2x = 180

Combine like terms: -13 + 22 = 9
9 + 3x + 4x + 2x = 180

Combine like terms: 3x + 4x = 7x
9 + 7x + 2x = 180

Combine like terms: 7x + 2x = 9x
9 + 9x = 180

Solving
9 + 9x = 180

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 9x = 180 + -9

Combine like terms: 9 + -9 = 0
0 + 9x = 180 + -9
9x = 180 + -9

Combine like terms: 180 + -9 = 171
9x = 171

Divide each side by '9'.
x = 19

Simplifying
x = 19

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