3(x-2)=-2x-6

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Solution for 3(x-2)=-2x-6 equation:


Simplifying
3(x + -2) = -2x + -6

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

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

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

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

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

Solving
3x = -2x

Solving for variable 'x'.

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

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

Combine like terms: 3x + 2x = 5x
5x = -2x + 2x

Combine like terms: -2x + 2x = 0
5x = 0

Divide each side by '5'.
x = 0

Simplifying
x = 0

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