(3x+45)+(2x-30)+(5x-75)=180

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Solution for (3x+45)+(2x-30)+(5x-75)=180 equation:


Simplifying
(3x + 45) + (2x + -30) + (5x + -75) = 180

Reorder the terms:
(45 + 3x) + (2x + -30) + (5x + -75) = 180

Remove parenthesis around (45 + 3x)
45 + 3x + (2x + -30) + (5x + -75) = 180

Reorder the terms:
45 + 3x + (-30 + 2x) + (5x + -75) = 180

Remove parenthesis around (-30 + 2x)
45 + 3x + -30 + 2x + (5x + -75) = 180

Reorder the terms:
45 + 3x + -30 + 2x + (-75 + 5x) = 180

Remove parenthesis around (-75 + 5x)
45 + 3x + -30 + 2x + -75 + 5x = 180

Reorder the terms:
45 + -30 + -75 + 3x + 2x + 5x = 180

Combine like terms: 45 + -30 = 15
15 + -75 + 3x + 2x + 5x = 180

Combine like terms: 15 + -75 = -60
-60 + 3x + 2x + 5x = 180

Combine like terms: 3x + 2x = 5x
-60 + 5x + 5x = 180

Combine like terms: 5x + 5x = 10x
-60 + 10x = 180

Solving
-60 + 10x = 180

Solving for variable 'x'.

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

Add '60' to each side of the equation.
-60 + 60 + 10x = 180 + 60

Combine like terms: -60 + 60 = 0
0 + 10x = 180 + 60
10x = 180 + 60

Combine like terms: 180 + 60 = 240
10x = 240

Divide each side by '10'.
x = 24

Simplifying
x = 24

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