Answer
This equation is true for x = 0.
x = {0}
Work Step by Step
Because x - 3 is in the denominator, and the denominator cannot equal 0, x - 3 $\ne$ 0.
x $\ne$ 3
Because x - 6 is in the denominator, and the denominator cannot equal 0, x - 6 $\ne$ 0.
x $\ne$ 6
To solve this equation, we equate the cross products.
5 $\times$ (x - 6) = 10 $\times$ (x - 3)
Use the distributive property.
5x - 30 = 10x - 30
Subtract 5x from both sides.
-30 = 5x - 30
Add 30 to both sides.
0 = 5x
Divide both sides by 5
x = 0
