(x+5)+(3x-1)+(4x-2)=180

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Solution for (x+5)+(3x-1)+(4x-2)=180 equation:


Simplifying
(x + 5) + (3x + -1) + (4x + -2) = 180

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

Remove parenthesis around (5 + x)
5 + x + (3x + -1) + (4x + -2) = 180

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

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

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

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

Reorder the terms:
5 + -1 + -2 + x + 3x + 4x = 180

Combine like terms: 5 + -1 = 4
4 + -2 + x + 3x + 4x = 180

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

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

Combine like terms: 4x + 4x = 8x
2 + 8x = 180

Solving
2 + 8x = 180

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 8x = 180 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = 180 + -2
8x = 180 + -2

Combine like terms: 180 + -2 = 178
8x = 178

Divide each side by '8'.
x = 22.25

Simplifying
x = 22.25

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