3(x-2)=2-(x-4)

Solution for 3(x-2)=2-(x-4) equation:

Simplifying
3(x + -2) = 2 + -1(x + -4)

Reorder the terms:
3(-2 + x) = 2 + -1(x + -4)
(-2 * 3 + x * 3) = 2 + -1(x + -4)
(-6 + 3x) = 2 + -1(x + -4)

Reorder the terms:
-6 + 3x = 2 + -1(-4 + x)
-6 + 3x = 2 + (-4 * -1 + x * -1)
-6 + 3x = 2 + (4 + -1x)

Combine like terms: 2 + 4 = 6
-6 + 3x = 6 + -1x

Solving
-6 + 3x = 6 + -1x

Solving for variable 'x'.

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

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

Combine like terms: 3x + x = 4x
-6 + 4x = 6 + -1x + x

Combine like terms: -1x + x = 0
-6 + 4x = 6 + 0
-6 + 4x = 6

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

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

Combine like terms: 6 + 6 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3