2x+(4x-9)+(5x+2)=180

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Solution for 2x+(4x-9)+(5x+2)=180 equation:


Simplifying
2x + (4x + -9) + (5x + 2) = 180

Reorder the terms:
2x + (-9 + 4x) + (5x + 2) = 180

Remove parenthesis around (-9 + 4x)
2x + -9 + 4x + (5x + 2) = 180

Reorder the terms:
2x + -9 + 4x + (2 + 5x) = 180

Remove parenthesis around (2 + 5x)
2x + -9 + 4x + 2 + 5x = 180

Reorder the terms:
-9 + 2 + 2x + 4x + 5x = 180

Combine like terms: -9 + 2 = -7
-7 + 2x + 4x + 5x = 180

Combine like terms: 2x + 4x = 6x
-7 + 6x + 5x = 180

Combine like terms: 6x + 5x = 11x
-7 + 11x = 180

Solving
-7 + 11x = 180

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 11x = 180 + 7

Combine like terms: -7 + 7 = 0
0 + 11x = 180 + 7
11x = 180 + 7

Combine like terms: 180 + 7 = 187
11x = 187

Divide each side by '11'.
x = 17

Simplifying
x = 17

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