ax+bx=2xab

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Solution for ax+bx=2xab equation: 


Simplifying
ax + bx = 2xab

Solving
ax + bx = 2abx

Solving for variable 'a'.

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

Add '-2abx' to each side of the equation.
ax + -2abx + bx = 2abx + -2abx

Reorder the terms:
-2abx + ax + bx = 2abx + -2abx

Combine like terms: 2abx + -2abx = 0
-2abx + ax + bx = 0

Add '-1bx' to each side of the equation.
-2abx + ax + bx + -1bx = 0 + -1bx

Combine like terms: bx + -1bx = 0
-2abx + ax + 0 = 0 + -1bx
-2abx + ax = 0 + -1bx
Remove the zero:
-2abx + ax = -1bx

Combine like terms: -1bx + bx = 0
-2abx + ax + bx = 0

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


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

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-2ab + a + b)' equal to zero and attempt to solve:

Simplifying
-2ab + a + b = 0

Reorder the terms:
a + -2ab + b = 0

Solving
a + -2ab + b = 0

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

Add '-1b' to each side of the equation.
a + -2ab + b + -1b = 0 + -1b

Combine like terms: b + -1b = 0
a + -2ab + 0 = 0 + -1b
a + -2ab = 0 + -1b
Remove the zero:
a + -2ab = -1b

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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