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

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


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

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

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

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

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

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

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

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

Combine like terms: 4x + x = 5x
-5 + 5x = 180

Solving
-5 + 5x = 180

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 5x = 180 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = 180 + 5
5x = 180 + 5

Combine like terms: 180 + 5 = 185
5x = 185

Divide each side by '5'.
x = 37

Simplifying
x = 37

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