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

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

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

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

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

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

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

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

Solving
6 + 2x = 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 + 2x + 3x = 5 + -3x + 3x

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

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

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

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

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

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2