6(2x+1)=3x-9x

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Solution for 6(2x+1)=3x-9x equation:


Simplifying
6(2x + 1) = 3x + -9x

Reorder the terms:
6(1 + 2x) = 3x + -9x
(1 * 6 + 2x * 6) = 3x + -9x
(6 + 12x) = 3x + -9x

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

Solving
6 + 12x = -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
6 + 12x + 6x = -6x + 6x

Combine like terms: 12x + 6x = 18x
6 + 18x = -6x + 6x

Combine like terms: -6x + 6x = 0
6 + 18x = 0

Add '-6' to each side of the equation.
6 + -6 + 18x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 18x = 0 + -6
18x = 0 + -6

Combine like terms: 0 + -6 = -6
18x = -6

Divide each side by '18'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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