-3(x-2)=2[x-4(x-2)+x]

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

Simplifying
-3(x + -2) = 2[x + -4(x + -2) + x]

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

Reorder the terms:
6 + -3x = 2[x + -4(-2 + x) + x]
6 + -3x = 2[x + (-2 * -4 + x * -4) + x]
6 + -3x = 2[x + (8 + -4x) + x]

Reorder the terms:
6 + -3x = 2[8 + x + -4x + x]

Combine like terms: x + -4x = -3x
6 + -3x = 2[8 + -3x + x]

Combine like terms: -3x + x = -2x
6 + -3x = 2[8 + -2x]
6 + -3x = [8 * 2 + -2x * 2]
6 + -3x = [16 + -4x]

Solving
6 + -3x = 16 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + -3x + 4x = 16 + -4x + 4x

Combine like terms: -3x + 4x = 1x
6 + 1x = 16 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 1x = 16 + 0
6 + 1x = 16

Add '-6' to each side of the equation.
6 + -6 + 1x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 16 + -6
1x = 16 + -6

Combine like terms: 16 + -6 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10