2ax-3a=ax+8a

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Solution for 2ax-3a=ax+8a equation: 


Simplifying
2ax + -3a = ax + 8a

Reorder the terms:
-3a + 2ax = ax + 8a

Reorder the terms:
-3a + 2ax = 8a + ax

Solving
-3a + 2ax = 8a + ax

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
-3a + -8a + 2ax = 8a + -8a + ax

Combine like terms: -3a + -8a = -11a
-11a + 2ax = 8a + -8a + ax

Combine like terms: 8a + -8a = 0
-11a + 2ax = 0 + ax
-11a + 2ax = ax

Add '-1ax' to each side of the equation.
-11a + 2ax + -1ax = ax + -1ax

Combine like terms: 2ax + -1ax = 1ax
-11a + 1ax = ax + -1ax

Combine like terms: ax + -1ax = 0
-11a + 1ax = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-11 + x) = 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 '(-11 + x)' equal to zero and attempt to solve:

Simplifying
-11 + x = 0

Solving
-11 + x = 0

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

Add '11' to each side of the equation.
-11 + 11 + x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + x = 0 + 11
x = 0 + 11

Combine like terms: 0 + 11 = 11
x = 11

Add '-1x' to each side of the equation.
x + -1x = 11 + -1x

Combine like terms: x + -1x = 0
0 = 11 + -1x

Simplifying
0 = 11 + -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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