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

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

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

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

Remove parenthesis around (-4 + x)
-4 + x + -3(3 + -2x) = 0
-4 + x + (3 * -3 + -2x * -3) = 0
-4 + x + (-9 + 6x) = 0

Reorder the terms:
-4 + -9 + x + 6x = 0

Combine like terms: -4 + -9 = -13
-13 + x + 6x = 0

Combine like terms: x + 6x = 7x
-13 + 7x = 0

Solving
-13 + 7x = 0

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 7x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 7x = 0 + 13
7x = 0 + 13

Combine like terms: 0 + 13 = 13
7x = 13

Divide each side by '7'.
x = 1.857142857

Simplifying
x = 1.857142857