(8x-34)+(5x+2)=180

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Solution for (8x-34)+(5x+2)=180 equation:


Simplifying
(8x + -34) + (5x + 2) = 180

Reorder the terms:
(-34 + 8x) + (5x + 2) = 180

Remove parenthesis around (-34 + 8x)
-34 + 8x + (5x + 2) = 180

Reorder the terms:
-34 + 8x + (2 + 5x) = 180

Remove parenthesis around (2 + 5x)
-34 + 8x + 2 + 5x = 180

Reorder the terms:
-34 + 2 + 8x + 5x = 180

Combine like terms: -34 + 2 = -32
-32 + 8x + 5x = 180

Combine like terms: 8x + 5x = 13x
-32 + 13x = 180

Solving
-32 + 13x = 180

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + 13x = 180 + 32

Combine like terms: -32 + 32 = 0
0 + 13x = 180 + 32
13x = 180 + 32

Combine like terms: 180 + 32 = 212
13x = 212

Divide each side by '13'.
x = 16.30769231

Simplifying
x = 16.30769231

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