(2x+3)+(2x-1)+(4x+2)=180

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Solution for (2x+3)+(2x-1)+(4x+2)=180 equation:


Simplifying
(2x + 3) + (2x + -1) + (4x + 2) = 180

Reorder the terms:
(3 + 2x) + (2x + -1) + (4x + 2) = 180

Remove parenthesis around (3 + 2x)
3 + 2x + (2x + -1) + (4x + 2) = 180

Reorder the terms:
3 + 2x + (-1 + 2x) + (4x + 2) = 180

Remove parenthesis around (-1 + 2x)
3 + 2x + -1 + 2x + (4x + 2) = 180

Reorder the terms:
3 + 2x + -1 + 2x + (2 + 4x) = 180

Remove parenthesis around (2 + 4x)
3 + 2x + -1 + 2x + 2 + 4x = 180

Reorder the terms:
3 + -1 + 2 + 2x + 2x + 4x = 180

Combine like terms: 3 + -1 = 2
2 + 2 + 2x + 2x + 4x = 180

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

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

Combine like terms: 4x + 4x = 8x
4 + 8x = 180

Solving
4 + 8x = 180

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 8x = 180 + -4

Combine like terms: 4 + -4 = 0
0 + 8x = 180 + -4
8x = 180 + -4

Combine like terms: 180 + -4 = 176
8x = 176

Divide each side by '8'.
x = 22

Simplifying
x = 22

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