(3x+31)+(2x-6)=180

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Solution for (3x+31)+(2x-6)=180 equation:


Simplifying
(3x + 31) + (2x + -6) = 180

Reorder the terms:
(31 + 3x) + (2x + -6) = 180

Remove parenthesis around (31 + 3x)
31 + 3x + (2x + -6) = 180

Reorder the terms:
31 + 3x + (-6 + 2x) = 180

Remove parenthesis around (-6 + 2x)
31 + 3x + -6 + 2x = 180

Reorder the terms:
31 + -6 + 3x + 2x = 180

Combine like terms: 31 + -6 = 25
25 + 3x + 2x = 180

Combine like terms: 3x + 2x = 5x
25 + 5x = 180

Solving
25 + 5x = 180

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + 5x = 180 + -25

Combine like terms: 25 + -25 = 0
0 + 5x = 180 + -25
5x = 180 + -25

Combine like terms: 180 + -25 = 155
5x = 155

Divide each side by '5'.
x = 31

Simplifying
x = 31

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