3x+6+5(-x)=0

Solution for 3x+6+5(-x)=0 equation:

Simplifying
3x + 6 + 5(-1x) = 0

Remove parenthesis around (-1x)
3x + 6 + 5 * -1x = 0

Multiply 5 * -1
3x + 6 + -5x = 0

Reorder the terms:
6 + 3x + -5x = 0

Combine like terms: 3x + -5x = -2x
6 + -2x = 0

Solving
6 + -2x = 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 + -2x = 0 + -6

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

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

Divide each side by '-2'.
x = 3

Simplifying
x = 3