-2(x-3)+4(2x-1)=0

Solution for -2(x-3)+4(2x-1)=0 equation:

Simplifying
-2(x + -3) + 4(2x + -1) = 0

Reorder the terms:
-2(-3 + x) + 4(2x + -1) = 0
(-3 * -2 + x * -2) + 4(2x + -1) = 0
(6 + -2x) + 4(2x + -1) = 0

Reorder the terms:
6 + -2x + 4(-1 + 2x) = 0
6 + -2x + (-1 * 4 + 2x * 4) = 0
6 + -2x + (-4 + 8x) = 0

Reorder the terms:
6 + -4 + -2x + 8x = 0

Combine like terms: 6 + -4 = 2
2 + -2x + 8x = 0

Combine like terms: -2x + 8x = 6x
2 + 6x = 0

Solving
2 + 6x = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 6x = 0 + -2

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

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

Divide each side by '6'.
x = -0.3333333333

Simplifying
x = -0.3333333333