3(x-4)-2(x-9)=0

Solution for 3(x-4)-2(x-9)=0 equation:

Simplifying
3(x + -4) + -2(x + -9) = 0

Reorder the terms:
3(-4 + x) + -2(x + -9) = 0
(-4 * 3 + x * 3) + -2(x + -9) = 0
(-12 + 3x) + -2(x + -9) = 0

Reorder the terms:
-12 + 3x + -2(-9 + x) = 0
-12 + 3x + (-9 * -2 + x * -2) = 0
-12 + 3x + (18 + -2x) = 0

Reorder the terms:
-12 + 18 + 3x + -2x = 0

Combine like terms: -12 + 18 = 6
6 + 3x + -2x = 0

Combine like terms: 3x + -2x = 1x
6 + 1x = 0

Solving
6 + 1x = 0

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 0 + -6
1x = 0 + -6

Combine like terms: 0 + -6 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6