4+3(x-1)=6-2(3-x)

Solution for 4+3(x-1)=6-2(3-x) equation:

Simplifying
4 + 3(x + -1) = 6 + -2(3 + -1x)

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

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

Combine like terms: 6 + -6 = 0
1 + 3x = 0 + 2x
1 + 3x = 2x

Solving
1 + 3x = 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.
1 + 3x + -2x = 2x + -2x

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

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

Add '-1' to each side of the equation.
1 + -1 + 1x = 0 + -1

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

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

Divide each side by '1'.
x = -1

Simplifying
x = -1