(3x-8)+(5x+2)=180

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Solution for (3x-8)+(5x+2)=180 equation:


Simplifying
(3x + -8) + (5x + 2) = 180

Reorder the terms:
(-8 + 3x) + (5x + 2) = 180

Remove parenthesis around (-8 + 3x)
-8 + 3x + (5x + 2) = 180

Reorder the terms:
-8 + 3x + (2 + 5x) = 180

Remove parenthesis around (2 + 5x)
-8 + 3x + 2 + 5x = 180

Reorder the terms:
-8 + 2 + 3x + 5x = 180

Combine like terms: -8 + 2 = -6
-6 + 3x + 5x = 180

Combine like terms: 3x + 5x = 8x
-6 + 8x = 180

Solving
-6 + 8x = 180

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 8x = 180 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 180 + 6
8x = 180 + 6

Combine like terms: 180 + 6 = 186
8x = 186

Divide each side by '8'.
x = 23.25

Simplifying
x = 23.25

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