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

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

Simplifying
2(x + 3y) + -1(x + 6) = 0
(x * 2 + 3y * 2) + -1(x + 6) = 0
(2x + 6y) + -1(x + 6) = 0

Reorder the terms:
2x + 6y + -1(6 + x) = 0
2x + 6y + (6 * -1 + x * -1) = 0
2x + 6y + (-6 + -1x) = 0

Reorder the terms:
-6 + 2x + -1x + 6y = 0

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

Solving
-6 + 1x + 6y = 0

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 + 1x + 6 + 6y = 0 + 6

Reorder the terms:
-6 + 6 + 1x + 6y = 0 + 6

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

Combine like terms: 0 + 6 = 6
1x + 6y = 6

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

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

Divide each side by '1'.
x = 6 + -6y

Simplifying
x = 6 + -6y