(2x-6)+(5x+18)=180

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Solution for (2x-6)+(5x+18)=180 equation:


Simplifying
(2x + -6) + (5x + 18) = 180

Reorder the terms:
(-6 + 2x) + (5x + 18) = 180

Remove parenthesis around (-6 + 2x)
-6 + 2x + (5x + 18) = 180

Reorder the terms:
-6 + 2x + (18 + 5x) = 180

Remove parenthesis around (18 + 5x)
-6 + 2x + 18 + 5x = 180

Reorder the terms:
-6 + 18 + 2x + 5x = 180

Combine like terms: -6 + 18 = 12
12 + 2x + 5x = 180

Combine like terms: 2x + 5x = 7x
12 + 7x = 180

Solving
12 + 7x = 180

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 7x = 180 + -12

Combine like terms: 12 + -12 = 0
0 + 7x = 180 + -12
7x = 180 + -12

Combine like terms: 180 + -12 = 168
7x = 168

Divide each side by '7'.
x = 24

Simplifying
x = 24

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