x+2(x-3)=0

Solution for x+2(x-3)=0 equation:

Simplifying
x + 2(x + -3) = 0

Reorder the terms:
x + 2(-3 + x) = 0
x + (-3 * 2 + x * 2) = 0
x + (-6 + 2x) = 0

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

Combine like terms: x + 2x = 3x
-6 + 3x = 0

Solving
-6 + 3x = 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 + 6 + 3x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 0 + 6
3x = 0 + 6

Combine like terms: 0 + 6 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2