6(x-7)-3(4-9)=0

Solution for 6(x-7)-3(4-9)=0 equation:

Simplifying
6(x + -7) + -3(4 + -9) = 0

Reorder the terms:
6(-7 + x) + -3(4 + -9) = 0
(-7 * 6 + x * 6) + -3(4 + -9) = 0
(-42 + 6x) + -3(4 + -9) = 0

Combine like terms: 4 + -9 = -5
-42 + 6x + -3(-5) = 0

Multiply -3 * -5
-42 + 6x + 15 = 0

Reorder the terms:
-42 + 15 + 6x = 0

Combine like terms: -42 + 15 = -27
-27 + 6x = 0

Solving
-27 + 6x = 0

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 6x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 6x = 0 + 27
6x = 0 + 27

Combine like terms: 0 + 27 = 27
6x = 27

Divide each side by '6'.
x = 4.5

Simplifying
x = 4.5