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

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

Simplifying
3(2 + x) = 4 + -1(x + -2)
(2 * 3 + x * 3) = 4 + -1(x + -2)
(6 + 3x) = 4 + -1(x + -2)

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

Combine like terms: 4 + 2 = 6
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 'x' to each side of the equation.
3x + x = -1x + x

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

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

Divide each side by '4'.
x = 0

Simplifying
x = 0