8ax-14a=38a-5ax

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Solution for 8ax-14a=38a-5ax equation: 


Simplifying
8ax + -14a = 38a + -5ax

Reorder the terms:
-14a + 8ax = 38a + -5ax

Solving
-14a + 8ax = 38a + -5ax

Solving for variable 'a'.

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

Add '-38a' to each side of the equation.
-14a + -38a + 8ax = 38a + -38a + -5ax

Combine like terms: -14a + -38a = -52a
-52a + 8ax = 38a + -38a + -5ax

Combine like terms: 38a + -38a = 0
-52a + 8ax = 0 + -5ax
-52a + 8ax = -5ax

Add '5ax' to each side of the equation.
-52a + 8ax + 5ax = -5ax + 5ax

Combine like terms: 8ax + 5ax = 13ax
-52a + 13ax = -5ax + 5ax

Combine like terms: -5ax + 5ax = 0
-52a + 13ax = 0

Factor out the Greatest Common Factor (GCF), '13a'.
13a(-4 + x) = 0

Ignore the factor 13.

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 '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

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

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

Combine like terms: 0 + 4 = 4
x = 4

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

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

Simplifying
0 = 4 + -1x

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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