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

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


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

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

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

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

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

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

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

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

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

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

Combine like terms: 3x + x = 4x
3 + 4x + 4x = 180

Combine like terms: 4x + 4x = 8x
3 + 8x = 180

Solving
3 + 8x = 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 + 8x = 180 + -3

Combine like terms: 3 + -3 = 0
0 + 8x = 180 + -3
8x = 180 + -3

Combine like terms: 180 + -3 = 177
8x = 177

Divide each side by '8'.
x = 22.125

Simplifying
x = 22.125

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