(6x+1)+(31x)+(9x-5)=180

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Solution for (6x+1)+(31x)+(9x-5)=180 equation:


Simplifying
(6x + 1) + (31x) + (9x + -5) = 180

Reorder the terms:
(1 + 6x) + (31x) + (9x + -5) = 180

Remove parenthesis around (1 + 6x)
1 + 6x + (31x) + (9x + -5) = 180

Reorder the terms:
1 + 6x + (31x) + (-5 + 9x) = 180

Remove parenthesis around (-5 + 9x)
1 + 6x + (31x) + -5 + 9x = 180

Reorder the terms:
1 + -5 + 6x + (31x) + 9x = 180

Combine like terms: 1 + -5 = -4
-4 + 6x + (31x) + 9x = 180

Combine like terms: 6x + (31x) = 37x
-4 + 37x + 9x = 180

Combine like terms: 37x + 9x = 46x
-4 + 46x = 180

Solving
-4 + 46x = 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 + 46x = 180 + 4

Combine like terms: -4 + 4 = 0
0 + 46x = 180 + 4
46x = 180 + 4

Combine like terms: 180 + 4 = 184
46x = 184

Divide each side by '46'.
x = 4

Simplifying
x = 4

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