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

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

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

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

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

Solving
-1 + 2x = 3 + 3x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-1'.
x = -4

Simplifying
x = -4