Solve for x in the equation 8/11(x+4/5)=24/55 (1 point)

1 answer

To solve this equation, we need to isolate the variable x.

We start by multiplying both sides of the equation by 11/8 to get rid of the fraction:

(11/8) * (8/11) * (x + 4/5) = (11/8) * (24/55)

This simplifies to:

x + 4/5 = (24/8) * (11/55)

The right side of the equation simplifies to:

x + 4/5 = 3 * 1/5

Now, we can subtract 4/5 from both sides of the equation:

x + 4/5 - 4/5 = 3 * 1/5 - 4/5

This simplifies to:

x = (3 - 4)/5

Therefore, x = -1/5.