To solve for x in the equation 8/11 (x + 4/5) = 24/55, we can start by simplifying the equation:
8/11 (x + 4/5) = 24/55
Multiplying both sides of the equation by 11 to get rid of the fraction:
8(x + 4/5) = 24/55 * 11
8(x + 4/5) = 264/55
Now, distribute the 8 on the left side of the equation:
8x + 8(4/5) = 264/55
8x + 32/5 = 264/55
To make the fractions easier to work with, we can convert them to a common denominator. The least common denominator (LCD) for 5 and 55 is 55.
Multiplying the first fraction by 11/11 and the second fraction by 5/5:
(8x * 11/11) + (32/5 * 11/11) = 264/55
88x/55 + 352/55 = 264/55
Now, combine the fractions on the left side:
(88x + 352)/55 = 264/55
To isolate x, we can cross-multiply:
88x + 352 = 264
Subtract 352 from both sides:
88x + 352 - 352 = 264 - 352
88x = -88
Now, divide both sides by 88:
88x/88 = -88/88
x = -1
Therefore, the solution to the equation 8/11 (x + 4/5) = 24/55 is x = -1.
Solve for x in the equation 8/11 ( x + 4/5)= 24/55
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