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

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


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

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

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

Reorder the terms:
6 + 2 + 3x + -6x = -2

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

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

Solving
8 + -3x = -2

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -3x = -2 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -2 + -8
-3x = -2 + -8

Combine like terms: -2 + -8 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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