(5x-76)+(3x+16)=180

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Solution for (5x-76)+(3x+16)=180 equation:


Simplifying
(5x + -76) + (3x + 16) = 180

Reorder the terms:
(-76 + 5x) + (3x + 16) = 180

Remove parenthesis around (-76 + 5x)
-76 + 5x + (3x + 16) = 180

Reorder the terms:
-76 + 5x + (16 + 3x) = 180

Remove parenthesis around (16 + 3x)
-76 + 5x + 16 + 3x = 180

Reorder the terms:
-76 + 16 + 5x + 3x = 180

Combine like terms: -76 + 16 = -60
-60 + 5x + 3x = 180

Combine like terms: 5x + 3x = 8x
-60 + 8x = 180

Solving
-60 + 8x = 180

Solving for variable 'x'.

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

Add '60' to each side of the equation.
-60 + 60 + 8x = 180 + 60

Combine like terms: -60 + 60 = 0
0 + 8x = 180 + 60
8x = 180 + 60

Combine like terms: 180 + 60 = 240
8x = 240

Divide each side by '8'.
x = 30

Simplifying
x = 30

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