(4x+2)+(-2x-1)+(6x+8)=180

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Solution for (4x+2)+(-2x-1)+(6x+8)=180 equation:


Simplifying
(4x + 2) + (-2x + -1) + (6x + 8) = 180

Reorder the terms:
(2 + 4x) + (-2x + -1) + (6x + 8) = 180

Remove parenthesis around (2 + 4x)
2 + 4x + (-2x + -1) + (6x + 8) = 180

Reorder the terms:
2 + 4x + (-1 + -2x) + (6x + 8) = 180

Remove parenthesis around (-1 + -2x)
2 + 4x + -1 + -2x + (6x + 8) = 180

Reorder the terms:
2 + 4x + -1 + -2x + (8 + 6x) = 180

Remove parenthesis around (8 + 6x)
2 + 4x + -1 + -2x + 8 + 6x = 180

Reorder the terms:
2 + -1 + 8 + 4x + -2x + 6x = 180

Combine like terms: 2 + -1 = 1
1 + 8 + 4x + -2x + 6x = 180

Combine like terms: 1 + 8 = 9
9 + 4x + -2x + 6x = 180

Combine like terms: 4x + -2x = 2x
9 + 2x + 6x = 180

Combine like terms: 2x + 6x = 8x
9 + 8x = 180

Solving
9 + 8x = 180

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 8x = 180 + -9

Combine like terms: 9 + -9 = 0
0 + 8x = 180 + -9
8x = 180 + -9

Combine like terms: 180 + -9 = 171
8x = 171

Divide each side by '8'.
x = 21.375

Simplifying
x = 21.375

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