(3x-10)+(5x+30)=180

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Solution for (3x-10)+(5x+30)=180 equation:


Simplifying
(3x + -10) + (5x + 30) = 180

Reorder the terms:
(-10 + 3x) + (5x + 30) = 180

Remove parenthesis around (-10 + 3x)
-10 + 3x + (5x + 30) = 180

Reorder the terms:
-10 + 3x + (30 + 5x) = 180

Remove parenthesis around (30 + 5x)
-10 + 3x + 30 + 5x = 180

Reorder the terms:
-10 + 30 + 3x + 5x = 180

Combine like terms: -10 + 30 = 20
20 + 3x + 5x = 180

Combine like terms: 3x + 5x = 8x
20 + 8x = 180

Solving
20 + 8x = 180

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 8x = 180 + -20

Combine like terms: 20 + -20 = 0
0 + 8x = 180 + -20
8x = 180 + -20

Combine like terms: 180 + -20 = 160
8x = 160

Divide each side by '8'.
x = 20

Simplifying
x = 20

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