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

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

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

Remove parenthesis around (2 + -3x)
4 + 2 + -3x = 2 + -3 + (x + 4)

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

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

Remove parenthesis around (4 + x)
6 + -3x = 2 + -3 + 4 + x

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

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

Solving
6 + -3x = 3 + x

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.
6 + -3x + -1x = 3 + x + -1x

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

Combine like terms: x + -1x = 0
6 + -4x = 3 + 0
6 + -4x = 3

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

Combine like terms: 6 + -6 = 0
0 + -4x = 3 + -6
-4x = 3 + -6

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

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75