18(2x-1)=6(x+2)+3x

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Solution for 18(2x-1)=6(x+2)+3x equation:


Simplifying
18(2x + -1) = 6(x + 2) + 3x

Reorder the terms:
18(-1 + 2x) = 6(x + 2) + 3x
(-1 * 18 + 2x * 18) = 6(x + 2) + 3x
(-18 + 36x) = 6(x + 2) + 3x

Reorder the terms:
-18 + 36x = 6(2 + x) + 3x
-18 + 36x = (2 * 6 + x * 6) + 3x
-18 + 36x = (12 + 6x) + 3x

Combine like terms: 6x + 3x = 9x
-18 + 36x = 12 + 9x

Solving
-18 + 36x = 12 + 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.
-18 + 36x + -9x = 12 + 9x + -9x

Combine like terms: 36x + -9x = 27x
-18 + 27x = 12 + 9x + -9x

Combine like terms: 9x + -9x = 0
-18 + 27x = 12 + 0
-18 + 27x = 12

Add '18' to each side of the equation.
-18 + 18 + 27x = 12 + 18

Combine like terms: -18 + 18 = 0
0 + 27x = 12 + 18
27x = 12 + 18

Combine like terms: 12 + 18 = 30
27x = 30

Divide each side by '27'.
x = 1.111111111

Simplifying
x = 1.111111111

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