6(1-2x)-3(x+1)=0

Solution for 6(1-2x)-3(x+1)=0 equation:

Simplifying
6(1 + -2x) + -3(x + 1) = 0
(1 * 6 + -2x * 6) + -3(x + 1) = 0
(6 + -12x) + -3(x + 1) = 0

Reorder the terms:
6 + -12x + -3(1 + x) = 0
6 + -12x + (1 * -3 + x * -3) = 0
6 + -12x + (-3 + -3x) = 0

Reorder the terms:
6 + -3 + -12x + -3x = 0

Combine like terms: 6 + -3 = 3
3 + -12x + -3x = 0

Combine like terms: -12x + -3x = -15x
3 + -15x = 0

Solving
3 + -15x = 0

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + -15x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -15x = 0 + -3
-15x = 0 + -3

Combine like terms: 0 + -3 = -3
-15x = -3

Divide each side by '-15'.
x = 0.2

Simplifying
x = 0.2