2(3x+1)=5x-8x

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Solution for 2(3x+1)=5x-8x equation:


Simplifying
2(3x + 1) = 5x + -8x

Reorder the terms:
2(1 + 3x) = 5x + -8x
(1 * 2 + 3x * 2) = 5x + -8x
(2 + 6x) = 5x + -8x

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

Solving
2 + 6x = -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
2 + 6x + 3x = -3x + 3x

Combine like terms: 6x + 3x = 9x
2 + 9x = -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 9x = 0

Add '-2' to each side of the equation.
2 + -2 + 9x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9x = 0 + -2
9x = 0 + -2

Combine like terms: 0 + -2 = -2
9x = -2

Divide each side by '9'.
x = -0.2222222222

Simplifying
x = -0.2222222222

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