solve the problem below and explain your work

Question

1 over 5 x + 3 = 10

Answer 1

To solve the equation 1/(5x + 3) = 10, we can start by isolating the variable x.

First, we can multiply both sides of the equation by (5x + 3) to get rid of the fraction:

(5x + 3) * (1/(5x + 3)) = 10 * (5x + 3)

This simplifies to:

1 = 10 * (5x + 3)

Next, we can distribute the 10 on the right side of the equation:

1 = 50x + 30

Now, let's isolate the x term by subtracting 30 from both sides:

1 - 30 = 50x + 30 - 30

-29 = 50x

Finally, we divide both sides by 50 to solve for x:

-29/50 = 50x/50

Simplifying further:

-29/50 = x

So the solution to the equation is x = -29/50.