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

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


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

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

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

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

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

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

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

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

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

Divide each side by '-9'.
x = -0.4444444444

Simplifying
x = -0.4444444444

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