Solve for x in the equation 8/11(x+4/5)=24/55 .(1 point)
To solve for x in the equation:
8/11(x + 4/5) = 24/55
First, let's simplify the equation by multiplying both sides by the reciprocal of 8/11, which is 11/8:
(11/8) * 8/11(x + 4/5) = (11/8) * 24/55
On the left side, the 8/11 and 11/8 cancel out, leaving us with:
x + 4/5 = (11/8) * 24/55
Now, simplify the right side:
(11/8) * 24/55 = 24 * 11 / (8 * 55) = 11/20
The equation is now:
x + 4/5 = 11/20
To isolate x, we subtract 4/5 from both sides:
x = 11/20 - 4/5
To subtract fractions, we need to get a common denominator, which is 20:
x = 11/20 - 16/20
Now, subtract the numerators:
x = (11 - 16) / 20 = -5/20
The final answer is x = -5/20, which can be simplified to x = -1/4.