2(3x+1)=3x-8x

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Solution for 2(3x+1)=3x-8x equation:


Simplifying
2(3x + 1) = 3x + -8x

Reorder the terms:
2(1 + 3x) = 3x + -8x
(1 * 2 + 3x * 2) = 3x + -8x
(2 + 6x) = 3x + -8x

Combine like terms: 3x + -8x = -5x
2 + 6x = -5x

Solving
2 + 6x = -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
2 + 6x + 5x = -5x + 5x

Combine like terms: 6x + 5x = 11x
2 + 11x = -5x + 5x

Combine like terms: -5x + 5x = 0
2 + 11x = 0

Add '-2' to each side of the equation.
2 + -2 + 11x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 11x = 0 + -2
11x = 0 + -2

Combine like terms: 0 + -2 = -2
11x = -2

Divide each side by '11'.
x = -0.1818181818

Simplifying
x = -0.1818181818

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