(2x+5)+(7x-23)=180

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Solution for (2x+5)+(7x-23)=180 equation:


Simplifying
(2x + 5) + (7x + -23) = 180

Reorder the terms:
(5 + 2x) + (7x + -23) = 180

Remove parenthesis around (5 + 2x)
5 + 2x + (7x + -23) = 180

Reorder the terms:
5 + 2x + (-23 + 7x) = 180

Remove parenthesis around (-23 + 7x)
5 + 2x + -23 + 7x = 180

Reorder the terms:
5 + -23 + 2x + 7x = 180

Combine like terms: 5 + -23 = -18
-18 + 2x + 7x = 180

Combine like terms: 2x + 7x = 9x
-18 + 9x = 180

Solving
-18 + 9x = 180

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 9x = 180 + 18

Combine like terms: -18 + 18 = 0
0 + 9x = 180 + 18
9x = 180 + 18

Combine like terms: 180 + 18 = 198
9x = 198

Divide each side by '9'.
x = 22

Simplifying
x = 22

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