Question

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

Answer 1

What is the solution to the equation 1.26(x−7.352)=6.426 when solving for x ?

Answer 2

To solve for \( x \) in the equation

\[
\frac{8}{11} \left( x + \frac{4}{5} \right) = \frac{24}{55},
\]

we start by eliminating the fraction on the left side. We can do this by multiplying both sides of the equation by \( 11 \):

\[
8 \left( x + \frac{4}{5} \right) = \frac{24}{55} \cdot 11.
\]

Calculating the right side:

\[
\frac{24 \cdot 11}{55} = \frac{264}{55} = \frac{264 \div 11}{55 \div 11} = \frac{24}{5}.
\]

Now, our equation becomes:

\[
8 \left( x + \frac{4}{5} \right) = \frac{24}{5}.
\]

Next, we divide both sides by \( 8 \):

\[
x + \frac{4}{5} = \frac{24}{5} \cdot \frac{1}{8} = \frac{24}{40} = \frac{3}{5}.
\]

Now, we isolate \( x \) by subtracting \( \frac{4}{5} \) from both sides:

\[
x = \frac{3}{5} - \frac{4}{5} = \frac{3 - 4}{5} = \frac{-1}{5}.
\]

Thus, the solution for \( x \) is

\[
\boxed{-\frac{1}{5}}.
\]