82+2x+(3x-17)=180

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Solution for 82+2x+(3x-17)=180 equation:


Simplifying
82 + 2x + (3x + -17) = 180

Reorder the terms:
82 + 2x + (-17 + 3x) = 180

Remove parenthesis around (-17 + 3x)
82 + 2x + -17 + 3x = 180

Reorder the terms:
82 + -17 + 2x + 3x = 180

Combine like terms: 82 + -17 = 65
65 + 2x + 3x = 180

Combine like terms: 2x + 3x = 5x
65 + 5x = 180

Solving
65 + 5x = 180

Solving for variable 'x'.

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

Add '-65' to each side of the equation.
65 + -65 + 5x = 180 + -65

Combine like terms: 65 + -65 = 0
0 + 5x = 180 + -65
5x = 180 + -65

Combine like terms: 180 + -65 = 115
5x = 115

Divide each side by '5'.
x = 23

Simplifying
x = 23

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