(2x-3)+(5x-6)=180

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Solution for (2x-3)+(5x-6)=180 equation:


Simplifying
(2x + -3) + (5x + -6) = 180

Reorder the terms:
(-3 + 2x) + (5x + -6) = 180

Remove parenthesis around (-3 + 2x)
-3 + 2x + (5x + -6) = 180

Reorder the terms:
-3 + 2x + (-6 + 5x) = 180

Remove parenthesis around (-6 + 5x)
-3 + 2x + -6 + 5x = 180

Reorder the terms:
-3 + -6 + 2x + 5x = 180

Combine like terms: -3 + -6 = -9
-9 + 2x + 5x = 180

Combine like terms: 2x + 5x = 7x
-9 + 7x = 180

Solving
-9 + 7x = 180

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 7x = 180 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 180 + 9
7x = 180 + 9

Combine like terms: 180 + 9 = 189
7x = 189

Divide each side by '7'.
x = 27

Simplifying
x = 27

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