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

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

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

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

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

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

Combine like terms: 6 + 4 = 10
10 + 2x + -4x = 0

Combine like terms: 2x + -4x = -2x
10 + -2x = 0

Solving
10 + -2x = 0

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -2x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 0 + -10
-2x = 0 + -10

Combine like terms: 0 + -10 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5