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

Solution for 4-3(2-x)=3(x-1)+2(x+1) equation:

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

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

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

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

Reorder the terms:
-2 + 3x = -3 + 2 + 3x + 2x

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

Combine like terms: 3x + 2x = 5x
-2 + 3x = -1 + 5x

Solving
-2 + 3x = -1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + 3x + -5x = -1 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-2 + -2x = -1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -2x = -1 + 0
-2 + -2x = -1

Add '2' to each side of the equation.
-2 + 2 + -2x = -1 + 2

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

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

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5