(4x+17)+(x-2)=180

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Solution for (4x+17)+(x-2)=180 equation: 


Simplifying
(4x + 17) + (x + -2) = 180

Reorder the terms:
(17 + 4x) + (x + -2) = 180

Remove parenthesis around (17 + 4x)
17 + 4x + (x + -2) = 180

Reorder the terms:
17 + 4x + (-2 + x) = 180

Remove parenthesis around (-2 + x)
17 + 4x + -2 + x = 180

Reorder the terms:
17 + -2 + 4x + x = 180

Combine like terms: 17 + -2 = 15
15 + 4x + x = 180

Combine like terms: 4x + x = 5x
15 + 5x = 180

Solving
15 + 5x = 180

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 5x = 180 + -15

Combine like terms: 15 + -15 = 0
0 + 5x = 180 + -15
5x = 180 + -15

Combine like terms: 180 + -15 = 165
5x = 165

Divide each side by '5'.
x = 33

Simplifying
x = 33

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