To solve for x, we can begin by multiplying both sides of the equation by the reciprocal of 8/11, which is 11/8.
Hence, we have:
(x + 4/5) * (11/8) = (24/55) * (11/8)
Simplifying, we get:
11/8 * x + 11/8 * 4/5 = 24/55 * 11/8
Multiplying both numerators and denominators, we have:
(11x)/8 + 44/40 = 264/440
Simplifying further:
11x/8 + 11/10 = 6/10
Next, we combine the fractions on the left side of the equation by finding a common denominator. In this case, it is 40.
So we get:
(55x + 44)/40 = 48/80
Cross-multiplying, we have:
80 * (55x + 44) = 48 * 40
Simplifying:
4400x + 3520 = 1920
Next, we isolate x by subtracting 3520 from both sides:
4400x = 1920 - 3520
4400x = -1600
Finally, divide both sides by 4400:
x = -1600/4400
Reducing the fraction, we obtain:
x = -4/11
Therefore, x is equal to -4/11.
Find x 8/11 (x+4/5)=24/55
1 answer
1 answer