6(3x+2)=216(3x-1)

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Solution for 6(3x+2)=216(3x-1) equation:


Simplifying
6(3x + 2) = 216(3x + -1)

Reorder the terms:
6(2 + 3x) = 216(3x + -1)
(2 * 6 + 3x * 6) = 216(3x + -1)
(12 + 18x) = 216(3x + -1)

Reorder the terms:
12 + 18x = 216(-1 + 3x)
12 + 18x = (-1 * 216 + 3x * 216)
12 + 18x = (-216 + 648x)

Solving
12 + 18x = -216 + 648x

Solving for variable 'x'.

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

Add '-648x' to each side of the equation.
12 + 18x + -648x = -216 + 648x + -648x

Combine like terms: 18x + -648x = -630x
12 + -630x = -216 + 648x + -648x

Combine like terms: 648x + -648x = 0
12 + -630x = -216 + 0
12 + -630x = -216

Add '-12' to each side of the equation.
12 + -12 + -630x = -216 + -12

Combine like terms: 12 + -12 = 0
0 + -630x = -216 + -12
-630x = -216 + -12

Combine like terms: -216 + -12 = -228
-630x = -228

Divide each side by '-630'.
x = 0.3619047619

Simplifying
x = 0.3619047619

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