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

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


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

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

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

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

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

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

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

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

Solving
180 = 8 + 4x

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '-4'.
x = 43

Simplifying
x = 43

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