(2x+5)+(7x-14)=180

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Solution for (2x+5)+(7x-14)=180 equation:


Simplifying
(2x + 5) + (7x + -14) = 180

Reorder the terms:
(5 + 2x) + (7x + -14) = 180

Remove parenthesis around (5 + 2x)
5 + 2x + (7x + -14) = 180

Reorder the terms:
5 + 2x + (-14 + 7x) = 180

Remove parenthesis around (-14 + 7x)
5 + 2x + -14 + 7x = 180

Reorder the terms:
5 + -14 + 2x + 7x = 180

Combine like terms: 5 + -14 = -9
-9 + 2x + 7x = 180

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

Solving
-9 + 9x = 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 + 9x = 180 + 9

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

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

Divide each side by '9'.
x = 21

Simplifying
x = 21

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