(8x-2)+(5x-13)=180

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Solution for (8x-2)+(5x-13)=180 equation:


Simplifying
(8x + -2) + (5x + -13) = 180

Reorder the terms:
(-2 + 8x) + (5x + -13) = 180

Remove parenthesis around (-2 + 8x)
-2 + 8x + (5x + -13) = 180

Reorder the terms:
-2 + 8x + (-13 + 5x) = 180

Remove parenthesis around (-13 + 5x)
-2 + 8x + -13 + 5x = 180

Reorder the terms:
-2 + -13 + 8x + 5x = 180

Combine like terms: -2 + -13 = -15
-15 + 8x + 5x = 180

Combine like terms: 8x + 5x = 13x
-15 + 13x = 180

Solving
-15 + 13x = 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 + 13x = 180 + 15

Combine like terms: -15 + 15 = 0
0 + 13x = 180 + 15
13x = 180 + 15

Combine like terms: 180 + 15 = 195
13x = 195

Divide each side by '13'.
x = 15

Simplifying
x = 15

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