(x+30)+(5x+10)=180

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Solution for (x+30)+(5x+10)=180 equation:


Simplifying
(x + 30) + (5x + 10) = 180

Reorder the terms:
(30 + x) + (5x + 10) = 180

Remove parenthesis around (30 + x)
30 + x + (5x + 10) = 180

Reorder the terms:
30 + x + (10 + 5x) = 180

Remove parenthesis around (10 + 5x)
30 + x + 10 + 5x = 180

Reorder the terms:
30 + 10 + x + 5x = 180

Combine like terms: 30 + 10 = 40
40 + x + 5x = 180

Combine like terms: x + 5x = 6x
40 + 6x = 180

Solving
40 + 6x = 180

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 6x = 180 + -40

Combine like terms: 40 + -40 = 0
0 + 6x = 180 + -40
6x = 180 + -40

Combine like terms: 180 + -40 = 140
6x = 140

Divide each side by '6'.
x = 23.33333333

Simplifying
x = 23.33333333

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