-4x+6=ax+6

Solution for -4x+6=ax+6 equation:

Simplifying
-4x + 6 = ax + 6

Reorder the terms:
6 + -4x = ax + 6

Reorder the terms:
6 + -4x = 6 + ax

Add '-6' to each side of the equation.
6 + -6 + -4x = 6 + -6 + ax

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

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

Solving
-4x = 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 + -4x = ax + -1ax

Combine like terms: ax + -1ax = 0
-1ax + -4x = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(a + 4) = 0

Ignore the factor -1.
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 '(a + 4)' equal to zero and attempt to solve:

Simplifying
a + 4 = 0

Reorder the terms:
4 + a = 0

Solving
4 + a = 0

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

Add '-4' to each side of the equation.
4 + -4 + a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + a = 0 + -4
a = 0 + -4

Combine like terms: 0 + -4 = -4
a = -4

Add '-1a' to each side of the equation.
a + -1a = -4 + -1a

Combine like terms: a + -1a = 0
0 = -4 + -1a

Simplifying
0 = -4 + -1a

The solution to this equation could not be determined.

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