(5x-10)+(8x-5)=180

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Solution for (5x-10)+(8x-5)=180 equation:


Simplifying
(5x + -10) + (8x + -5) = 180

Reorder the terms:
(-10 + 5x) + (8x + -5) = 180

Remove parenthesis around (-10 + 5x)
-10 + 5x + (8x + -5) = 180

Reorder the terms:
-10 + 5x + (-5 + 8x) = 180

Remove parenthesis around (-5 + 8x)
-10 + 5x + -5 + 8x = 180

Reorder the terms:
-10 + -5 + 5x + 8x = 180

Combine like terms: -10 + -5 = -15
-15 + 5x + 8x = 180

Combine like terms: 5x + 8x = 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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