6(x+4)=ax+24

Solution for 6(x+4)=ax+24 equation:

Simplifying
6(x + 4) = ax + 24

Reorder the terms:
6(4 + x) = ax + 24
(4 * 6 + x * 6) = ax + 24
(24 + 6x) = ax + 24

Reorder the terms:
24 + 6x = 24 + ax

Add '-24' to each side of the equation.
24 + -24 + 6x = 24 + -24 + ax

Combine like terms: 24 + -24 = 0
0 + 6x = 24 + -24 + ax
6x = 24 + -24 + ax

Combine like terms: 24 + -24 = 0
6x = 0 + ax
6x = ax

Solving
6x = ax

Solving for variable 'x'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1a + 6) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-1a + 6)' equal to zero and attempt to solve:

Simplifying
-1a + 6 = 0

Reorder the terms:
6 + -1a = 0

Solving
6 + -1a = 0

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

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

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

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

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

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

Simplifying
0 = -6 + a

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}