(3x-8)+9x=(9x+24)+18

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Solution for (3x-8)+9x=(9x+24)+18 equation:


Simplifying
(3x + -8) + 9x = (9x + 24) + 18

Reorder the terms:
(-8 + 3x) + 9x = (9x + 24) + 18

Remove parenthesis around (-8 + 3x)
-8 + 3x + 9x = (9x + 24) + 18

Combine like terms: 3x + 9x = 12x
-8 + 12x = (9x + 24) + 18

Reorder the terms:
-8 + 12x = (24 + 9x) + 18

Remove parenthesis around (24 + 9x)
-8 + 12x = 24 + 9x + 18

Reorder the terms:
-8 + 12x = 24 + 18 + 9x

Combine like terms: 24 + 18 = 42
-8 + 12x = 42 + 9x

Solving
-8 + 12x = 42 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-8 + 12x + -9x = 42 + 9x + -9x

Combine like terms: 12x + -9x = 3x
-8 + 3x = 42 + 9x + -9x

Combine like terms: 9x + -9x = 0
-8 + 3x = 42 + 0
-8 + 3x = 42

Add '8' to each side of the equation.
-8 + 8 + 3x = 42 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 42 + 8
3x = 42 + 8

Combine like terms: 42 + 8 = 50
3x = 50

Divide each side by '3'.
x = 16.66666667

Simplifying
x = 16.66666667

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