(2x-18)+(x-9)=18

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Solution for (2x-18)+(x-9)=18 equation:


Simplifying
(2x + -18) + (x + -9) = 18

Reorder the terms:
(-18 + 2x) + (x + -9) = 18

Remove parenthesis around (-18 + 2x)
-18 + 2x + (x + -9) = 18

Reorder the terms:
-18 + 2x + (-9 + x) = 18

Remove parenthesis around (-9 + x)
-18 + 2x + -9 + x = 18

Reorder the terms:
-18 + -9 + 2x + x = 18

Combine like terms: -18 + -9 = -27
-27 + 2x + x = 18

Combine like terms: 2x + x = 3x
-27 + 3x = 18

Solving
-27 + 3x = 18

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 3x = 18 + 27

Combine like terms: -27 + 27 = 0
0 + 3x = 18 + 27
3x = 18 + 27

Combine like terms: 18 + 27 = 45
3x = 45

Divide each side by '3'.
x = 15

Simplifying
x = 15

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