(x+2)+(2x-1)+(2x+2)=180

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Solution for (x+2)+(2x-1)+(2x+2)=180 equation:


Simplifying
(x + 2) + (2x + -1) + (2x + 2) = 180

Reorder the terms:
(2 + x) + (2x + -1) + (2x + 2) = 180

Remove parenthesis around (2 + x)
2 + x + (2x + -1) + (2x + 2) = 180

Reorder the terms:
2 + x + (-1 + 2x) + (2x + 2) = 180

Remove parenthesis around (-1 + 2x)
2 + x + -1 + 2x + (2x + 2) = 180

Reorder the terms:
2 + x + -1 + 2x + (2 + 2x) = 180

Remove parenthesis around (2 + 2x)
2 + x + -1 + 2x + 2 + 2x = 180

Reorder the terms:
2 + -1 + 2 + x + 2x + 2x = 180

Combine like terms: 2 + -1 = 1
1 + 2 + x + 2x + 2x = 180

Combine like terms: 1 + 2 = 3
3 + x + 2x + 2x = 180

Combine like terms: x + 2x = 3x
3 + 3x + 2x = 180

Combine like terms: 3x + 2x = 5x
3 + 5x = 180

Solving
3 + 5x = 180

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 5x = 180 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 180 + -3
5x = 180 + -3

Combine like terms: 180 + -3 = 177
5x = 177

Divide each side by '5'.
x = 35.4

Simplifying
x = 35.4

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