Answer
There are no values of x that will make this equation true.
Work Step by Step
Because 2x + 1 is in the denominator, and the denominator cannot equal 0, 2x + 1 $\ne$ 0
2x $\ne$ -1
x $\ne$ -$\frac{1}{2}$
Because x - 3 is in the denominator, and the denominator cannot equal 0, x - 3 $\ne$ 0
x $\ne$ 3
To solve this equation, we equate the cross products.
8 $\times$ (x - 3) = 4 $\times$ (2x + 1)
Use the distributive property.
8x - 24 = 8x + 4
Subtract 8x from both sides.
-24 = 4
We can see that this equation will never be true for any value of x.
