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

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

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

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

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

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

Reorder the terms:
-1 + -2x = 3 + 2 + -6x

Combine like terms: 3 + 2 = 5
-1 + -2x = 5 + -6x

Solving
-1 + -2x = 5 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-1 + -2x + 6x = 5 + -6x + 6x

Combine like terms: -2x + 6x = 4x
-1 + 4x = 5 + -6x + 6x

Combine like terms: -6x + 6x = 0
-1 + 4x = 5 + 0
-1 + 4x = 5

Add '1' to each side of the equation.
-1 + 1 + 4x = 5 + 1

Combine like terms: -1 + 1 = 0
0 + 4x = 5 + 1
4x = 5 + 1

Combine like terms: 5 + 1 = 6
4x = 6

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5