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

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

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

Remove parenthesis around (6 + -3x)
6 + -3x = (1 + -1x) + (3 + -1x)

Remove parenthesis around (1 + -1x)
6 + -3x = 1 + -1x + (3 + -1x)

Remove parenthesis around (3 + -1x)
6 + -3x = 1 + -1x + 3 + -1x

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

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

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

Solving
6 + -3x = 4 + -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.
6 + -3x + 2x = 4 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
6 + -1x = 4 + 0
6 + -1x = 4

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

Combine like terms: 6 + -6 = 0
0 + -1x = 4 + -6
-1x = 4 + -6

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2