(3x+8)+(5x-40)=180

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Solution for (3x+8)+(5x-40)=180 equation:


Simplifying
(3x + 8) + (5x + -40) = 180

Reorder the terms:
(8 + 3x) + (5x + -40) = 180

Remove parenthesis around (8 + 3x)
8 + 3x + (5x + -40) = 180

Reorder the terms:
8 + 3x + (-40 + 5x) = 180

Remove parenthesis around (-40 + 5x)
8 + 3x + -40 + 5x = 180

Reorder the terms:
8 + -40 + 3x + 5x = 180

Combine like terms: 8 + -40 = -32
-32 + 3x + 5x = 180

Combine like terms: 3x + 5x = 8x
-32 + 8x = 180

Solving
-32 + 8x = 180

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + 8x = 180 + 32

Combine like terms: -32 + 32 = 0
0 + 8x = 180 + 32
8x = 180 + 32

Combine like terms: 180 + 32 = 212
8x = 212

Divide each side by '8'.
x = 26.5

Simplifying
x = 26.5

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