3[x-2]=2x+6

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

Solving
-6 + 3x = 6 + 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.
-6 + 3x + -2x = 6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-6 + 1x = 6 + 0
-6 + 1x = 6

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

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

Combine like terms: 6 + 6 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12