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

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


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

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

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

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

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

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

Combine like terms: -2 + 8 = 6
6 + 5x + 2x = 180

Combine like terms: 5x + 2x = 7x
6 + 7x = 180

Solving
6 + 7x = 180

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 7x = 180 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 180 + -6
7x = 180 + -6

Combine like terms: 180 + -6 = 174
7x = 174

Divide each side by '7'.
x = 24.85714286

Simplifying
x = 24.85714286

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