(5x+10)+(2x-12)=180

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Solution for (5x+10)+(2x-12)=180 equation:


Simplifying
(5x + 10) + (2x + -12) = 180

Reorder the terms:
(10 + 5x) + (2x + -12) = 180

Remove parenthesis around (10 + 5x)
10 + 5x + (2x + -12) = 180

Reorder the terms:
10 + 5x + (-12 + 2x) = 180

Remove parenthesis around (-12 + 2x)
10 + 5x + -12 + 2x = 180

Reorder the terms:
10 + -12 + 5x + 2x = 180

Combine like terms: 10 + -12 = -2
-2 + 5x + 2x = 180

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

Solving
-2 + 7x = 180

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 7x = 180 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 180 + 2
7x = 180 + 2

Combine like terms: 180 + 2 = 182
7x = 182

Divide each side by '7'.
x = 26

Simplifying
x = 26

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