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

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

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

Remove parenthesis around (2x)
2 + -3 * 2x = 3 + -1(x + -1)

Multiply -3 * 2
2 + -6x = 3 + -1(x + -1)

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

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

Solving
2 + -6x = 4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + -6x + x = 4 + -1x + x

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

Combine like terms: -1x + x = 0
2 + -5x = 4 + 0
2 + -5x = 4

Add '-2' to each side of the equation.
2 + -2 + -5x = 4 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 4 + -2
-5x = 4 + -2

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

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4