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

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


Simplifying
3(x + -2) = -1(6 + -1x)

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

Add '6' to each side of the equation.
-6 + 6 + 3x = -6 + 6 + 1x

Combine like terms: -6 + 6 = 0
0 + 3x = -6 + 6 + 1x
3x = -6 + 6 + 1x

Combine like terms: -6 + 6 = 0
3x = 0 + 1x
3x = 1x

Solving
3x = 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3x + -1x = 1x + -1x

Combine like terms: 3x + -1x = 2x
2x = 1x + -1x

Combine like terms: 1x + -1x = 0
2x = 0

Divide each side by '2'.
x = 0

Simplifying
x = 0

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