8ax-7a=19a-5ax

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Solution for 8ax-7a=19a-5ax equation: 


Simplifying
8ax + -7a = 19a + -5ax

Reorder the terms:
-7a + 8ax = 19a + -5ax

Solving
-7a + 8ax = 19a + -5ax

Solving for variable 'a'.

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

Add '-19a' to each side of the equation.
-7a + -19a + 8ax = 19a + -19a + -5ax

Combine like terms: -7a + -19a = -26a
-26a + 8ax = 19a + -19a + -5ax

Combine like terms: 19a + -19a = 0
-26a + 8ax = 0 + -5ax
-26a + 8ax = -5ax

Add '5ax' to each side of the equation.
-26a + 8ax + 5ax = -5ax + 5ax

Combine like terms: 8ax + 5ax = 13ax
-26a + 13ax = -5ax + 5ax

Combine like terms: -5ax + 5ax = 0
-26a + 13ax = 0

Factor out the Greatest Common Factor (GCF), '13a'.
13a(-2 + 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 '(-2 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

Solving
-2 + x = 0

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

Add '2' to each side of the equation.
-2 + 2 + x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + x = 0 + 2
x = 0 + 2

Combine like terms: 0 + 2 = 2
x = 2

Add '-1x' to each side of the equation.
x + -1x = 2 + -1x

Combine like terms: x + -1x = 0
0 = 2 + -1x

Simplifying
0 = 2 + -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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