(3x-20)+(5x+10)=180

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Solution for (3x-20)+(5x+10)=180 equation:


Simplifying
(3x + -20) + (5x + 10) = 180

Reorder the terms:
(-20 + 3x) + (5x + 10) = 180

Remove parenthesis around (-20 + 3x)
-20 + 3x + (5x + 10) = 180

Reorder the terms:
-20 + 3x + (10 + 5x) = 180

Remove parenthesis around (10 + 5x)
-20 + 3x + 10 + 5x = 180

Reorder the terms:
-20 + 10 + 3x + 5x = 180

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

Combine like terms: 3x + 5x = 8x
-10 + 8x = 180

Solving
-10 + 8x = 180

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 8x = 180 + 10

Combine like terms: -10 + 10 = 0
0 + 8x = 180 + 10
8x = 180 + 10

Combine like terms: 180 + 10 = 190
8x = 190

Divide each side by '8'.
x = 23.75

Simplifying
x = 23.75

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