slove for x in the equation 8/11 (x+ 4/5) = 24/55
To solve for x in the equation 8/11(x + 4/5) = 24/55, we can follow these steps:
1. Distribute the 8/11 to the terms inside the parentheses:
(8/11) * x + (8/11) * (4/5) = 24/55
2. Simplify the expression on the left side:
(8/11) * x + (32/55) = 24/55
3. Subtract (32/55) from both sides of the equation to isolate the term with x:
(8/11) * x = 24/55 - 32/55
(8/11) * x = -8/55
4. To solve for x, we need to multiply both sides of the equation by the reciprocal of (8/11), which is (11/8):
(11/8) * (8/11) * x = (11/8) * (-8/55)
x = -88/440
x = -1/5
Therefore, the solution is x = -1/5.