(2x+13)+(3x-8)=180

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Solution for (2x+13)+(3x-8)=180 equation:


Simplifying
(2x + 13) + (3x + -8) = 180

Reorder the terms:
(13 + 2x) + (3x + -8) = 180

Remove parenthesis around (13 + 2x)
13 + 2x + (3x + -8) = 180

Reorder the terms:
13 + 2x + (-8 + 3x) = 180

Remove parenthesis around (-8 + 3x)
13 + 2x + -8 + 3x = 180

Reorder the terms:
13 + -8 + 2x + 3x = 180

Combine like terms: 13 + -8 = 5
5 + 2x + 3x = 180

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

Solving
5 + 5x = 180

Solving for variable 'x'.

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

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

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

Combine like terms: 180 + -5 = 175
5x = 175

Divide each side by '5'.
x = 35

Simplifying
x = 35

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