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

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


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

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

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

Reorder the terms:
-4 + -3x = -2 + 3x

Solving
-4 + -3x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-4 + -3x + -3x = -2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-4 + -6x = -2 + 0
-4 + -6x = -2

Add '4' to each side of the equation.
-4 + 4 + -6x = -2 + 4

Combine like terms: -4 + 4 = 0
0 + -6x = -2 + 4
-6x = -2 + 4

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

Divide each side by '-6'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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