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

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


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

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

Combine like terms: 2x + -6x = -4x
3 + 9x = -4x

Solving
3 + 9x = -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
3 + 9x + 4x = -4x + 4x

Combine like terms: 9x + 4x = 13x
3 + 13x = -4x + 4x

Combine like terms: -4x + 4x = 0
3 + 13x = 0

Add '-3' to each side of the equation.
3 + -3 + 13x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 13x = 0 + -3
13x = 0 + -3

Combine like terms: 0 + -3 = -3
13x = -3

Divide each side by '13'.
x = -0.2307692308

Simplifying
x = -0.2307692308

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