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

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

Simplifying
6(1 + -3x) + 2(2x + -3) = 0
(1 * 6 + -3x * 6) + 2(2x + -3) = 0
(6 + -18x) + 2(2x + -3) = 0

Reorder the terms:
6 + -18x + 2(-3 + 2x) = 0
6 + -18x + (-3 * 2 + 2x * 2) = 0
6 + -18x + (-6 + 4x) = 0

Reorder the terms:
6 + -6 + -18x + 4x = 0

Combine like terms: 6 + -6 = 0
0 + -18x + 4x = 0
-18x + 4x = 0

Combine like terms: -18x + 4x = -14x
-14x = 0

Solving
-14x = 0

Solving for variable 'x'.

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

Divide each side by '-14'.
x = 0

Simplifying
x = 0