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

Answer 1

To solve for x, we will first simplify the equation and then isolate the variable.

Starting with the given equation:

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

To simplify, we need to distribute the 8/11 to both terms inside the parenthesis:

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

Multiplying fractions, we get:

(8x/11) + (32/55) = 24/55

Next, let's combine the like terms:

8x/11 + 32/55 = 24/55

To combine fractions, both denominators must be the same. Since both fractions already have the same denominators, we can proceed with combining the numerators:

8x/11 + 32/55 = 24/55

To combine the fractions, the numerators can be added:

(8x + 32)/55 = 24/55

Since the denominators are equal, we can set the numerators equal to each other:

8x + 32 = 24

Now, solve for x:

8x = 24 - 32

8x = -8

Divide both sides by 8:

x = -8/8

Simplifying:

x = -1

Therefore, the solution to the equation is x = -1.