2(x-3)=4y+6

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

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

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

Reorder the terms:
-6 + 2x = 6 + 4y

Solving
-6 + 2x = 6 + 4y

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 = 6 + 6 + 4y

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

Combine like terms: 6 + 6 = 12
2x = 12 + 4y

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

Simplifying
x = 6 + 2y