(3x-18)+(x+7)+(x-9)=180

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Solution for (3x-18)+(x+7)+(x-9)=180 equation:


Simplifying
(3x + -18) + (x + 7) + (x + -9) = 180

Reorder the terms:
(-18 + 3x) + (x + 7) + (x + -9) = 180

Remove parenthesis around (-18 + 3x)
-18 + 3x + (x + 7) + (x + -9) = 180

Reorder the terms:
-18 + 3x + (7 + x) + (x + -9) = 180

Remove parenthesis around (7 + x)
-18 + 3x + 7 + x + (x + -9) = 180

Reorder the terms:
-18 + 3x + 7 + x + (-9 + x) = 180

Remove parenthesis around (-9 + x)
-18 + 3x + 7 + x + -9 + x = 180

Reorder the terms:
-18 + 7 + -9 + 3x + x + x = 180

Combine like terms: -18 + 7 = -11
-11 + -9 + 3x + x + x = 180

Combine like terms: -11 + -9 = -20
-20 + 3x + x + x = 180

Combine like terms: 3x + x = 4x
-20 + 4x + x = 180

Combine like terms: 4x + x = 5x
-20 + 5x = 180

Solving
-20 + 5x = 180

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 5x = 180 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = 180 + 20
5x = 180 + 20

Combine like terms: 180 + 20 = 200
5x = 200

Divide each side by '5'.
x = 40

Simplifying
x = 40

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