(3x-45)+(5x-105)=180

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Solution for (3x-45)+(5x-105)=180 equation: 


Simplifying
(3x + -45) + (5x + -105) = 180

Reorder the terms:
(-45 + 3x) + (5x + -105) = 180

Remove parenthesis around (-45 + 3x)
-45 + 3x + (5x + -105) = 180

Reorder the terms:
-45 + 3x + (-105 + 5x) = 180

Remove parenthesis around (-105 + 5x)
-45 + 3x + -105 + 5x = 180

Reorder the terms:
-45 + -105 + 3x + 5x = 180

Combine like terms: -45 + -105 = -150
-150 + 3x + 5x = 180

Combine like terms: 3x + 5x = 8x
-150 + 8x = 180

Solving
-150 + 8x = 180

Solving for variable 'x'.

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

Add '150' to each side of the equation.
-150 + 150 + 8x = 180 + 150

Combine like terms: -150 + 150 = 0
0 + 8x = 180 + 150
8x = 180 + 150

Combine like terms: 180 + 150 = 330
8x = 330

Divide each side by '8'.
x = 41.25

Simplifying
x = 41.25

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