(3x-45)+(x+3)+(5x+12)=180

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Solution for (3x-45)+(x+3)+(5x+12)=180 equation:


Simplifying
(3x + -45) + (x + 3) + (5x + 12) = 180

Reorder the terms:
(-45 + 3x) + (x + 3) + (5x + 12) = 180

Remove parenthesis around (-45 + 3x)
-45 + 3x + (x + 3) + (5x + 12) = 180

Reorder the terms:
-45 + 3x + (3 + x) + (5x + 12) = 180

Remove parenthesis around (3 + x)
-45 + 3x + 3 + x + (5x + 12) = 180

Reorder the terms:
-45 + 3x + 3 + x + (12 + 5x) = 180

Remove parenthesis around (12 + 5x)
-45 + 3x + 3 + x + 12 + 5x = 180

Reorder the terms:
-45 + 3 + 12 + 3x + x + 5x = 180

Combine like terms: -45 + 3 = -42
-42 + 12 + 3x + x + 5x = 180

Combine like terms: -42 + 12 = -30
-30 + 3x + x + 5x = 180

Combine like terms: 3x + x = 4x
-30 + 4x + 5x = 180

Combine like terms: 4x + 5x = 9x
-30 + 9x = 180

Solving
-30 + 9x = 180

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 9x = 180 + 30

Combine like terms: -30 + 30 = 0
0 + 9x = 180 + 30
9x = 180 + 30

Combine like terms: 180 + 30 = 210
9x = 210

Divide each side by '9'.
x = 23.33333333

Simplifying
x = 23.33333333

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