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

Answer 1

To solve for x in the equation 8/11(x + 4/5) = 24/55, we will first simplify the equation:

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

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

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

Next, we will subtract 32/55 from both sides of the equation:

8/11 * x = 24/55 - 32/55

8/11 * x = -8/55

To isolate the x variable, we will multiply both sides of the equation by the reciprocal of 8/11, which is 11/8:

x = -8/55 * 11/8

Simplifying the right side:

x = -88/440

x = -1/5

Therefore, the solution to the equation is x = -1/5.