(20x+10)+(30x-2)+(7x+1)=180

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Solution for (20x+10)+(30x-2)+(7x+1)=180 equation:


Simplifying
(20x + 10) + (30x + -2) + (7x + 1) = 180

Reorder the terms:
(10 + 20x) + (30x + -2) + (7x + 1) = 180

Remove parenthesis around (10 + 20x)
10 + 20x + (30x + -2) + (7x + 1) = 180

Reorder the terms:
10 + 20x + (-2 + 30x) + (7x + 1) = 180

Remove parenthesis around (-2 + 30x)
10 + 20x + -2 + 30x + (7x + 1) = 180

Reorder the terms:
10 + 20x + -2 + 30x + (1 + 7x) = 180

Remove parenthesis around (1 + 7x)
10 + 20x + -2 + 30x + 1 + 7x = 180

Reorder the terms:
10 + -2 + 1 + 20x + 30x + 7x = 180

Combine like terms: 10 + -2 = 8
8 + 1 + 20x + 30x + 7x = 180

Combine like terms: 8 + 1 = 9
9 + 20x + 30x + 7x = 180

Combine like terms: 20x + 30x = 50x
9 + 50x + 7x = 180

Combine like terms: 50x + 7x = 57x
9 + 57x = 180

Solving
9 + 57x = 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 + 57x = 180 + -9

Combine like terms: 9 + -9 = 0
0 + 57x = 180 + -9
57x = 180 + -9

Combine like terms: 180 + -9 = 171
57x = 171

Divide each side by '57'.
x = 3

Simplifying
x = 3

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