((5x-14)+(x-5)+(2x-9))=180

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Solution for ((5x-14)+(x-5)+(2x-9))=180 equation:


Simplifying
((5x + -14) + (x + -5) + (2x + -9)) = 180

Reorder the terms:
((-14 + 5x) + (x + -5) + (2x + -9)) = 180

Remove parenthesis around (-14 + 5x)
(-14 + 5x + (x + -5) + (2x + -9)) = 180

Reorder the terms:
(-14 + 5x + (-5 + x) + (2x + -9)) = 180

Remove parenthesis around (-5 + x)
(-14 + 5x + -5 + x + (2x + -9)) = 180

Reorder the terms:
(-14 + 5x + -5 + x + (-9 + 2x)) = 180

Remove parenthesis around (-9 + 2x)
(-14 + 5x + -5 + x + -9 + 2x) = 180

Reorder the terms:
(-14 + -5 + -9 + 5x + x + 2x) = 180

Combine like terms: -14 + -5 = -19
(-19 + -9 + 5x + x + 2x) = 180

Combine like terms: -19 + -9 = -28
(-28 + 5x + x + 2x) = 180

Combine like terms: 5x + x = 6x
(-28 + 6x + 2x) = 180

Combine like terms: 6x + 2x = 8x
(-28 + 8x) = 180

Remove parenthesis around (-28 + 8x)
-28 + 8x = 180

Solving
-28 + 8x = 180

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 8x = 180 + 28

Combine like terms: -28 + 28 = 0
0 + 8x = 180 + 28
8x = 180 + 28

Combine like terms: 180 + 28 = 208
8x = 208

Divide each side by '8'.
x = 26

Simplifying
x = 26

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