2(3-x)=6-2(1-3y)

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

Simplifying
2(3 + -1x) = 6 + -2(1 + -3y)
(3 * 2 + -1x * 2) = 6 + -2(1 + -3y)
(6 + -2x) = 6 + -2(1 + -3y)
6 + -2x = 6 + (1 * -2 + -3y * -2)
6 + -2x = 6 + (-2 + 6y)

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

Solving
6 + -2x = 4 + 6y

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -2x = 4 + -6 + 6y

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

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

Divide each side by '-2'.
x = 1 + -3y

Simplifying
x = 1 + -3y