Sol e for x in the equation 8/11(x+4/5)=24/55.
To solve the equation, we will first distribute the 8/11 to the terms inside the parentheses:
8/11(x) + (8/11)(4/5) = 24/55
Now we simplify the second term on the left side:
8/11(x) + 32/55 = 24/55
Next, we can subtract 32/55 from both sides to isolate the x term:
8/11(x) = 24/55 - 32/55
= -8/55
Now we can multiply both sides by the reciprocal of 8/11, which is 11/8:
(x) = (-8/55) * (11/8)
= -88/440
= -1/5
Therefore, the solution to the equation is x = -1/5.