Solve for x in the equation 8/11(x+4/5)=24/55

Answer 1

To solve for x in the equation (8/11)(x + 4/5) = 24/55, we can start by multiplying both sides of the equation by the reciprocal of 8/11, which is 11/8. This will cancel out the fraction on the left side, leaving only x + 4/5 on that side:

(11/8)(8/11)(x + 4/5) = (11/8)(24/55)

Simplifying this equation gives:

1(x + 4/5) = 3/5

In this equation, we can distribute the 1 to each term on the left side:

x + 4/5 = 3/5

Next, we want to isolate x by getting rid of the 4/5 on the left side. We can do this by subtracting 4/5 from both sides of the equation:

x + 4/5 - 4/5 = 3/5 - 4/5

Simplifying this equation gives:

x + 0 = -1/5

So, the solution to the equation is:

x = -1/5