3+(x-9)=2(x+6)

Solution for 3+(x-9)=2(x+6) equation:

Simplifying
3 + (x + -9) = 2(x + 6)

Reorder the terms:
3 + (-9 + x) = 2(x + 6)

Remove parenthesis around (-9 + x)
3 + -9 + x = 2(x + 6)

Combine like terms: 3 + -9 = -6
-6 + x = 2(x + 6)

Reorder the terms:
-6 + x = 2(6 + x)
-6 + x = (6 * 2 + x * 2)
-6 + x = (12 + 2x)

Solving
-6 + x = 12 + 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 + x + -2x = 12 + 2x + -2x

Combine like terms: x + -2x = -1x
-6 + -1x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + -1x = 12 + 0
-6 + -1x = 12

Add '6' to each side of the equation.
-6 + 6 + -1x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 12 + 6
-1x = 12 + 6

Combine like terms: 12 + 6 = 18
-1x = 18

Divide each side by '-1'.
x = -18

Simplifying
x = -18