(3X+10)+(5X-52)=180

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Solution for (3X+10)+(5X-52)=180 equation: 


Simplifying
(3X + 10) + (5X + -52) = 180

Reorder the terms:
(10 + 3X) + (5X + -52) = 180

Remove parenthesis around (10 + 3X)
10 + 3X + (5X + -52) = 180

Reorder the terms:
10 + 3X + (-52 + 5X) = 180

Remove parenthesis around (-52 + 5X)
10 + 3X + -52 + 5X = 180

Reorder the terms:
10 + -52 + 3X + 5X = 180

Combine like terms: 10 + -52 = -42
-42 + 3X + 5X = 180

Combine like terms: 3X + 5X = 8X
-42 + 8X = 180

Solving
-42 + 8X = 180

Solving for variable 'X'.

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

Add '42' to each side of the equation.
-42 + 42 + 8X = 180 + 42

Combine like terms: -42 + 42 = 0
0 + 8X = 180 + 42
8X = 180 + 42

Combine like terms: 180 + 42 = 222
8X = 222

Divide each side by '8'.
X = 27.75

Simplifying
X = 27.75

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