(4x+9)+(2x+2)+(7x-13)=180

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Solution for (4x+9)+(2x+2)+(7x-13)=180 equation:


Simplifying
(4x + 9) + (2x + 2) + (7x + -13) = 180

Reorder the terms:
(9 + 4x) + (2x + 2) + (7x + -13) = 180

Remove parenthesis around (9 + 4x)
9 + 4x + (2x + 2) + (7x + -13) = 180

Reorder the terms:
9 + 4x + (2 + 2x) + (7x + -13) = 180

Remove parenthesis around (2 + 2x)
9 + 4x + 2 + 2x + (7x + -13) = 180

Reorder the terms:
9 + 4x + 2 + 2x + (-13 + 7x) = 180

Remove parenthesis around (-13 + 7x)
9 + 4x + 2 + 2x + -13 + 7x = 180

Reorder the terms:
9 + 2 + -13 + 4x + 2x + 7x = 180

Combine like terms: 9 + 2 = 11
11 + -13 + 4x + 2x + 7x = 180

Combine like terms: 11 + -13 = -2
-2 + 4x + 2x + 7x = 180

Combine like terms: 4x + 2x = 6x
-2 + 6x + 7x = 180

Combine like terms: 6x + 7x = 13x
-2 + 13x = 180

Solving
-2 + 13x = 180

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 13x = 180 + 2

Combine like terms: -2 + 2 = 0
0 + 13x = 180 + 2
13x = 180 + 2

Combine like terms: 180 + 2 = 182
13x = 182

Divide each side by '13'.
x = 14

Simplifying
x = 14

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