(5x-20)+(3x+8)=180

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Solution for (5x-20)+(3x+8)=180 equation:


Simplifying
(5x + -20) + (3x + 8) = 180

Reorder the terms:
(-20 + 5x) + (3x + 8) = 180

Remove parenthesis around (-20 + 5x)
-20 + 5x + (3x + 8) = 180

Reorder the terms:
-20 + 5x + (8 + 3x) = 180

Remove parenthesis around (8 + 3x)
-20 + 5x + 8 + 3x = 180

Reorder the terms:
-20 + 8 + 5x + 3x = 180

Combine like terms: -20 + 8 = -12
-12 + 5x + 3x = 180

Combine like terms: 5x + 3x = 8x
-12 + 8x = 180

Solving
-12 + 8x = 180

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 8x = 180 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 180 + 12
8x = 180 + 12

Combine like terms: 180 + 12 = 192
8x = 192

Divide each side by '8'.
x = 24

Simplifying
x = 24

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