(5x-33)+(3x+17)=180

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Solution for (5x-33)+(3x+17)=180 equation:


Simplifying
(5x + -33) + (3x + 17) = 180

Reorder the terms:
(-33 + 5x) + (3x + 17) = 180

Remove parenthesis around (-33 + 5x)
-33 + 5x + (3x + 17) = 180

Reorder the terms:
-33 + 5x + (17 + 3x) = 180

Remove parenthesis around (17 + 3x)
-33 + 5x + 17 + 3x = 180

Reorder the terms:
-33 + 17 + 5x + 3x = 180

Combine like terms: -33 + 17 = -16
-16 + 5x + 3x = 180

Combine like terms: 5x + 3x = 8x
-16 + 8x = 180

Solving
-16 + 8x = 180

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 8x = 180 + 16

Combine like terms: -16 + 16 = 0
0 + 8x = 180 + 16
8x = 180 + 16

Combine like terms: 180 + 16 = 196
8x = 196

Divide each side by '8'.
x = 24.5

Simplifying
x = 24.5

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