(5x-54)+(3x+16)=180

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Solution for (5x-54)+(3x+16)=180 equation:


Simplifying
(5x + -54) + (3x + 16) = 180

Reorder the terms:
(-54 + 5x) + (3x + 16) = 180

Remove parenthesis around (-54 + 5x)
-54 + 5x + (3x + 16) = 180

Reorder the terms:
-54 + 5x + (16 + 3x) = 180

Remove parenthesis around (16 + 3x)
-54 + 5x + 16 + 3x = 180

Reorder the terms:
-54 + 16 + 5x + 3x = 180

Combine like terms: -54 + 16 = -38
-38 + 5x + 3x = 180

Combine like terms: 5x + 3x = 8x
-38 + 8x = 180

Solving
-38 + 8x = 180

Solving for variable 'x'.

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

Add '38' to each side of the equation.
-38 + 38 + 8x = 180 + 38

Combine like terms: -38 + 38 = 0
0 + 8x = 180 + 38
8x = 180 + 38

Combine like terms: 180 + 38 = 218
8x = 218

Divide each side by '8'.
x = 27.25

Simplifying
x = 27.25

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