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

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


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

Reorder the terms:
3(1 + 3x) = 2x + -8x
(1 * 3 + 3x * 3) = 2x + -8x
(3 + 9x) = 2x + -8x

Combine like terms: 2x + -8x = -6x
3 + 9x = -6x

Solving
3 + 9x = -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.
3 + 9x + 6x = -6x + 6x

Combine like terms: 9x + 6x = 15x
3 + 15x = -6x + 6x

Combine like terms: -6x + 6x = 0
3 + 15x = 0

Add '-3' to each side of the equation.
3 + -3 + 15x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 15x = 0 + -3
15x = 0 + -3

Combine like terms: 0 + -3 = -3
15x = -3

Divide each side by '15'.
x = -0.2

Simplifying
x = -0.2

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