To solve this equation, we can start by simplifying the left side of the equation:
8/11(x + 4/5) = 24/55
First, distribute the 8/11 to both terms inside the parentheses:
(8/11)(x) + (8/11)(4/5) = 24/55
This simplifies to:
8x/11 + 32/55 = 24/55
Now, we can subtract 32/55 from both sides of the equation to isolate the variable:
8x/11 = 24/55 - 32/55
Simplifying the right side gives us:
8x/11 = -8/55
To get rid of the fraction, we can multiply both sides of the equation by the reciprocal of 8/11, which is 11/8:
(11/8)(8x/11) = (11/8)(-8/55)
Simplifying both sides of the equation yields:
x = -11/55
Therefore, the solution to the equation is x = -11/55.
8/11 (x+4/5)=24/55
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