(x+23)+(4x+17)+80=180

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Solution for (x+23)+(4x+17)+80=180 equation:


Simplifying
(x + 23) + (4x + 17) + 80 = 180

Reorder the terms:
(23 + x) + (4x + 17) + 80 = 180

Remove parenthesis around (23 + x)
23 + x + (4x + 17) + 80 = 180

Reorder the terms:
23 + x + (17 + 4x) + 80 = 180

Remove parenthesis around (17 + 4x)
23 + x + 17 + 4x + 80 = 180

Reorder the terms:
23 + 17 + 80 + x + 4x = 180

Combine like terms: 23 + 17 = 40
40 + 80 + x + 4x = 180

Combine like terms: 40 + 80 = 120
120 + x + 4x = 180

Combine like terms: x + 4x = 5x
120 + 5x = 180

Solving
120 + 5x = 180

Solving for variable 'x'.

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

Add '-120' to each side of the equation.
120 + -120 + 5x = 180 + -120

Combine like terms: 120 + -120 = 0
0 + 5x = 180 + -120
5x = 180 + -120

Combine like terms: 180 + -120 = 60
5x = 60

Divide each side by '5'.
x = 12

Simplifying
x = 12

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