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

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

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

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

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

Solving
-6 + 6x = 6 + 2y

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 + 6x = 6 + 6 + 2y

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

Combine like terms: 6 + 6 = 12
6x = 12 + 2y

Divide each side by '6'.
x = 2 + 0.3333333333y

Simplifying
x = 2 + 0.3333333333y