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

Answer 1

To solve for x, we first simplify the equation:

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

We can eliminate the fractions by multiplying both sides of the equation by the least common denominator, which is 11 * 5 = 55:

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

40(x+4/5) = 24

Distribute the 40 on the left side:

40x + 40(4/5) = 24

40x + 32 = 24

Now, subtract 32 from both sides:

40x = 24 - 32

40x = -8

Finally, divide both sides by 40 to solve for x:

x = -8/40

Simplifying the fraction, we have:

x = -1/5