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

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


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

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

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

Solving
6 + 3x = -2 + -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.
6 + 3x + 6x = -2 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
6 + 9x = -2 + 0
6 + 9x = -2

Add '-6' to each side of the equation.
6 + -6 + 9x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = -2 + -6
9x = -2 + -6

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

Divide each side by '9'.
x = -0.8888888889

Simplifying
x = -0.8888888889

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