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

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

Simplifying
2(1 + -2x) + -3(1 + -3x) = 3
(1 * 2 + -2x * 2) + -3(1 + -3x) = 3
(2 + -4x) + -3(1 + -3x) = 3
2 + -4x + (1 * -3 + -3x * -3) = 3
2 + -4x + (-3 + 9x) = 3

Reorder the terms:
2 + -3 + -4x + 9x = 3

Combine like terms: 2 + -3 = -1
-1 + -4x + 9x = 3

Combine like terms: -4x + 9x = 5x
-1 + 5x = 3

Solving
-1 + 5x = 3

Solving for variable 'x'.

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

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

Combine like terms: -1 + 1 = 0
0 + 5x = 3 + 1
5x = 3 + 1

Combine like terms: 3 + 1 = 4
5x = 4

Divide each side by '5'.
x = 0.8

Simplifying
x = 0.8