(4x+11)+(4x+11)+(5x+2)=180

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Solution for (4x+11)+(4x+11)+(5x+2)=180 equation:


Simplifying
(4x + 11) + (4x + 11) + (5x + 2) = 180

Reorder the terms:
(11 + 4x) + (4x + 11) + (5x + 2) = 180

Remove parenthesis around (11 + 4x)
11 + 4x + (4x + 11) + (5x + 2) = 180

Reorder the terms:
11 + 4x + (11 + 4x) + (5x + 2) = 180

Remove parenthesis around (11 + 4x)
11 + 4x + 11 + 4x + (5x + 2) = 180

Reorder the terms:
11 + 4x + 11 + 4x + (2 + 5x) = 180

Remove parenthesis around (2 + 5x)
11 + 4x + 11 + 4x + 2 + 5x = 180

Reorder the terms:
11 + 11 + 2 + 4x + 4x + 5x = 180

Combine like terms: 11 + 11 = 22
22 + 2 + 4x + 4x + 5x = 180

Combine like terms: 22 + 2 = 24
24 + 4x + 4x + 5x = 180

Combine like terms: 4x + 4x = 8x
24 + 8x + 5x = 180

Combine like terms: 8x + 5x = 13x
24 + 13x = 180

Solving
24 + 13x = 180

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 13x = 180 + -24

Combine like terms: 24 + -24 = 0
0 + 13x = 180 + -24
13x = 180 + -24

Combine like terms: 180 + -24 = 156
13x = 156

Divide each side by '13'.
x = 12

Simplifying
x = 12

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