(3x+17)+(x-9)=180

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Solution for (3x+17)+(x-9)=180 equation:


Simplifying
(3x + 17) + (x + -9) = 180

Reorder the terms:
(17 + 3x) + (x + -9) = 180

Remove parenthesis around (17 + 3x)
17 + 3x + (x + -9) = 180

Reorder the terms:
17 + 3x + (-9 + x) = 180

Remove parenthesis around (-9 + x)
17 + 3x + -9 + x = 180

Reorder the terms:
17 + -9 + 3x + x = 180

Combine like terms: 17 + -9 = 8
8 + 3x + x = 180

Combine like terms: 3x + x = 4x
8 + 4x = 180

Solving
8 + 4x = 180

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 4x = 180 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = 180 + -8
4x = 180 + -8

Combine like terms: 180 + -8 = 172
4x = 172

Divide each side by '4'.
x = 43

Simplifying
x = 43

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