9+3a-4=xa+20-15

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Solution for 9+3a-4=xa+20-15 equation: 


Simplifying
9 + 3a + -4 = xa + 20 + -15

Reorder the terms:
9 + -4 + 3a = xa + 20 + -15

Combine like terms: 9 + -4 = 5
5 + 3a = xa + 20 + -15

Reorder the terms:
5 + 3a = 20 + -15 + ax

Combine like terms: 20 + -15 = 5
5 + 3a = 5 + ax

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

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

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

Solving
3a = ax

Solving for variable 'a'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'a'.
a(3 + -1x) = 0


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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

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

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

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

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

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

Simplifying
0 = -3 + x

The solution to this equation could not be determined.

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

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