3x+5=ax+5

Solution for 3x+5=ax+5 equation:

Simplifying
3x + 5 = ax + 5

Reorder the terms:
5 + 3x = ax + 5

Reorder the terms:
5 + 3x = 5 + ax

Add '-5' to each side of the equation.
5 + -5 + 3x = 5 + -5 + ax

Combine like terms: 5 + -5 = 0
0 + 3x = 5 + -5 + ax
3x = 5 + -5 + ax

Combine like terms: 5 + -5 = 0
3x = 0 + ax
3x = ax

Solving
3x = 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 + 3x = ax + -1ax

Combine like terms: ax + -1ax = 0
-1ax + 3x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1a + 3) = 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 + 3)' equal to zero and attempt to solve:

Simplifying
-1a + 3 = 0

Reorder the terms:
3 + -1a = 0

Solving
3 + -1a = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1a = 0 + -3
-1a = 0 + -3

Combine like terms: 0 + -3 = -3
-1a = -3

Add 'a' to each side of the equation.
-1a + a = -3 + a

Combine like terms: -1a + a = 0
0 = -3 + a

Simplifying
0 = -3 + 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}