(x+9)+(2x+13)+(x+8)=180

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Solution for (x+9)+(2x+13)+(x+8)=180 equation:


Simplifying
(x + 9) + (2x + 13) + (x + 8) = 180

Reorder the terms:
(9 + x) + (2x + 13) + (x + 8) = 180

Remove parenthesis around (9 + x)
9 + x + (2x + 13) + (x + 8) = 180

Reorder the terms:
9 + x + (13 + 2x) + (x + 8) = 180

Remove parenthesis around (13 + 2x)
9 + x + 13 + 2x + (x + 8) = 180

Reorder the terms:
9 + x + 13 + 2x + (8 + x) = 180

Remove parenthesis around (8 + x)
9 + x + 13 + 2x + 8 + x = 180

Reorder the terms:
9 + 13 + 8 + x + 2x + x = 180

Combine like terms: 9 + 13 = 22
22 + 8 + x + 2x + x = 180

Combine like terms: 22 + 8 = 30
30 + x + 2x + x = 180

Combine like terms: x + 2x = 3x
30 + 3x + x = 180

Combine like terms: 3x + x = 4x
30 + 4x = 180

Solving
30 + 4x = 180

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 4x = 180 + -30

Combine like terms: 30 + -30 = 0
0 + 4x = 180 + -30
4x = 180 + -30

Combine like terms: 180 + -30 = 150
4x = 150

Divide each side by '4'.
x = 37.5

Simplifying
x = 37.5

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