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

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


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

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

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

Combine like terms: -6x + -1x = -7x
2 + 6x = 3 + -7x

Solving
2 + 6x = 3 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
2 + 6x + 7x = 3 + -7x + 7x

Combine like terms: 6x + 7x = 13x
2 + 13x = 3 + -7x + 7x

Combine like terms: -7x + 7x = 0
2 + 13x = 3 + 0
2 + 13x = 3

Add '-2' to each side of the equation.
2 + -2 + 13x = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 13x = 3 + -2
13x = 3 + -2

Combine like terms: 3 + -2 = 1
13x = 1

Divide each side by '13'.
x = 0.07692307692

Simplifying
x = 0.07692307692

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