5ax-4ab=3ax+2ab

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Solution for 5ax-4ab=3ax+2ab equation: 


Simplifying
5ax + -4ab = 3ax + 2ab

Reorder the terms:
-4ab + 5ax = 3ax + 2ab

Reorder the terms:
-4ab + 5ax = 2ab + 3ax

Solving
-4ab + 5ax = 2ab + 3ax

Solving for variable 'a'.

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

Add '-2ab' to each side of the equation.
-4ab + -2ab + 5ax = 2ab + -2ab + 3ax

Combine like terms: -4ab + -2ab = -6ab
-6ab + 5ax = 2ab + -2ab + 3ax

Combine like terms: 2ab + -2ab = 0
-6ab + 5ax = 0 + 3ax
-6ab + 5ax = 3ax

Add '-3ax' to each side of the equation.
-6ab + 5ax + -3ax = 3ax + -3ax

Combine like terms: 5ax + -3ax = 2ax
-6ab + 2ax = 3ax + -3ax

Combine like terms: 3ax + -3ax = 0
-6ab + 2ax = 0

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-3b + x) = 0

Ignore the factor 2.

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 '(-3b + x)' equal to zero and attempt to solve:

Simplifying
-3b + x = 0

Solving
-3b + x = 0

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

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

Combine like terms: -3b + 3b = 0
0 + x = 0 + 3b
x = 0 + 3b
Remove the zero:
x = 3b

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

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

Simplifying
0 = 3b + -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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