(5x-10)+(2x-6)=180

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Solution for (5x-10)+(2x-6)=180 equation:


Simplifying
(5x + -10) + (2x + -6) = 180

Reorder the terms:
(-10 + 5x) + (2x + -6) = 180

Remove parenthesis around (-10 + 5x)
-10 + 5x + (2x + -6) = 180

Reorder the terms:
-10 + 5x + (-6 + 2x) = 180

Remove parenthesis around (-6 + 2x)
-10 + 5x + -6 + 2x = 180

Reorder the terms:
-10 + -6 + 5x + 2x = 180

Combine like terms: -10 + -6 = -16
-16 + 5x + 2x = 180

Combine like terms: 5x + 2x = 7x
-16 + 7x = 180

Solving
-16 + 7x = 180

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 7x = 180 + 16

Combine like terms: -16 + 16 = 0
0 + 7x = 180 + 16
7x = 180 + 16

Combine like terms: 180 + 16 = 196
7x = 196

Divide each side by '7'.
x = 28

Simplifying
x = 28

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