6(1-3x)=-8x-34

Solution for 6(1-3x)=-8x-34 equation:

Simplifying
6(1 + -3x) = -8x + -34
(1 * 6 + -3x * 6) = -8x + -34
(6 + -18x) = -8x + -34

Reorder the terms:
6 + -18x = -34 + -8x

Solving
6 + -18x = -34 + -8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8x' to each side of the equation.
6 + -18x + 8x = -34 + -8x + 8x

Combine like terms: -18x + 8x = -10x
6 + -10x = -34 + -8x + 8x

Combine like terms: -8x + 8x = 0
6 + -10x = -34 + 0
6 + -10x = -34

Add '-6' to each side of the equation.
6 + -6 + -10x = -34 + -6

Combine like terms: 6 + -6 = 0
0 + -10x = -34 + -6
-10x = -34 + -6

Combine like terms: -34 + -6 = -40
-10x = -40

Divide each side by '-10'.
x = 4

Simplifying
x = 4