Solve for $$ x $$. $$ \frac{8}{4 x-24}-1=\frac{2}{x-6} $$ If there is more than one solution, separate them with If there is no solution. click on "No solution"

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Solve the equation $$ \frac{8}{4x-24}-1=\frac{2}{x-6} $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$\frac{8}{4x-24}-1=\frac{2}{x-6}$$
- step1: Find the domain:
  $$\frac{8}{4x-24}-1=\frac{2}{x-6},x
eq 6$$
- step2: Divide the terms:
  $$\frac{2}{x-6}-1=\frac{2}{x-6}$$
- step3: Multiply both sides of the equation by LCD:
  $$\left(\frac{2}{x-6}-1ight)\left(x-6ight)=\frac{2}{x-6}	imes \left(x-6ight)$$
- step4: Simplify the equation:
  $$8-x=2$$
- step5: Move the constant to the right side:
  $$-x=2-8$$
- step6: Subtract the numbers:
  $$-x=-6$$
- step7: Change the signs:
  $$x=6$$
- step8: Check if the solution is in the defined range:
  $$x=6,x
eq 6$$
- step9: Find the intersection:
  $$x \in \varnothing $$
The equation $$\frac{8}{4x-24}-1=\frac{2}{x-6}$$ has no solution.
There is no solution.

Solve for .

If there is more than one solution, separate them with
If there is no solution. click on “No solution”

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