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

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

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

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

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

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

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

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

Solving
3 + -1x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + -1x + -2x = 2 + 2x + -2x

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

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

Add '-3' to each side of the equation.
3 + -3 + -3x = 2 + -3

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

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333