(13x+17)+(8x+16)=180

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Solution for (13x+17)+(8x+16)=180 equation: 


Simplifying
(13x + 17) + (8x + 16) = 180

Reorder the terms:
(17 + 13x) + (8x + 16) = 180

Remove parenthesis around (17 + 13x)
17 + 13x + (8x + 16) = 180

Reorder the terms:
17 + 13x + (16 + 8x) = 180

Remove parenthesis around (16 + 8x)
17 + 13x + 16 + 8x = 180

Reorder the terms:
17 + 16 + 13x + 8x = 180

Combine like terms: 17 + 16 = 33
33 + 13x + 8x = 180

Combine like terms: 13x + 8x = 21x
33 + 21x = 180

Solving
33 + 21x = 180

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + 21x = 180 + -33

Combine like terms: 33 + -33 = 0
0 + 21x = 180 + -33
21x = 180 + -33

Combine like terms: 180 + -33 = 147
21x = 147

Divide each side by '21'.
x = 7

Simplifying
x = 7

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