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

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

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

Reorder the terms:
3x + -2(-3 + 4x) = 2 + -3(x + -1)
3x + (-3 * -2 + 4x * -2) = 2 + -3(x + -1)
3x + (6 + -8x) = 2 + -3(x + -1)

Reorder the terms:
6 + 3x + -8x = 2 + -3(x + -1)

Combine like terms: 3x + -8x = -5x
6 + -5x = 2 + -3(x + -1)

Reorder the terms:
6 + -5x = 2 + -3(-1 + x)
6 + -5x = 2 + (-1 * -3 + x * -3)
6 + -5x = 2 + (3 + -3x)

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

Solving
6 + -5x = 5 + -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.
6 + -5x + 3x = 5 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
6 + -2x = 5 + 0
6 + -2x = 5

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

Combine like terms: 6 + -6 = 0
0 + -2x = 5 + -6
-2x = 5 + -6

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

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

Simplifying
x = 0.5