-2(x+3)+6(-x)=34

Solution for -2(x+3)+6(-x)=34 equation:

Simplifying
-2(x + 3) + 6(-1x) = 34

Reorder the terms:
-2(3 + x) + 6(-1x) = 34
(3 * -2 + x * -2) + 6(-1x) = 34
(-6 + -2x) + 6(-1x) = 34

Remove parenthesis around (-1x)
-6 + -2x + 6 * -1x = 34

Multiply 6 * -1
-6 + -2x + -6x = 34

Combine like terms: -2x + -6x = -8x
-6 + -8x = 34

Solving
-6 + -8x = 34

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 + -8x = 34 + 6

Combine like terms: -6 + 6 = 0
0 + -8x = 34 + 6
-8x = 34 + 6

Combine like terms: 34 + 6 = 40
-8x = 40

Divide each side by '-8'.
x = -5

Simplifying
x = -5