(2x-10)+(5x+8)=180

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Solution for (2x-10)+(5x+8)=180 equation:


Simplifying
(2x + -10) + (5x + 8) = 180

Reorder the terms:
(-10 + 2x) + (5x + 8) = 180

Remove parenthesis around (-10 + 2x)
-10 + 2x + (5x + 8) = 180

Reorder the terms:
-10 + 2x + (8 + 5x) = 180

Remove parenthesis around (8 + 5x)
-10 + 2x + 8 + 5x = 180

Reorder the terms:
-10 + 8 + 2x + 5x = 180

Combine like terms: -10 + 8 = -2
-2 + 2x + 5x = 180

Combine like terms: 2x + 5x = 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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