(5x-7)+(8x-55)=180

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Solution for (5x-7)+(8x-55)=180 equation:


Simplifying
(5x + -7) + (8x + -55) = 180

Reorder the terms:
(-7 + 5x) + (8x + -55) = 180

Remove parenthesis around (-7 + 5x)
-7 + 5x + (8x + -55) = 180

Reorder the terms:
-7 + 5x + (-55 + 8x) = 180

Remove parenthesis around (-55 + 8x)
-7 + 5x + -55 + 8x = 180

Reorder the terms:
-7 + -55 + 5x + 8x = 180

Combine like terms: -7 + -55 = -62
-62 + 5x + 8x = 180

Combine like terms: 5x + 8x = 13x
-62 + 13x = 180

Solving
-62 + 13x = 180

Solving for variable 'x'.

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

Add '62' to each side of the equation.
-62 + 62 + 13x = 180 + 62

Combine like terms: -62 + 62 = 0
0 + 13x = 180 + 62
13x = 180 + 62

Combine like terms: 180 + 62 = 242
13x = 242

Divide each side by '13'.
x = 18.61538462

Simplifying
x = 18.61538462

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