Answer: The error is in step 3
Explanation:
In step 2, they multiplied both sides by 8 to clear out the fractions. In step 3, they forgot to distribute the 8 to each term inside the parenthesis.
This is what the steps should look like
[tex]\frac{3\text{x}}{8}-1=\frac{5}{8}\\\\\\8\left(\frac{3\text{x}}{8}-1\right)=8\left(\frac{5}{8}\right)\\\\\\3\text{x}-8 = 5\\\\\\3\text{x} = 13\\\\\\\text{x} = \frac{13}{3}\\\\\\[/tex]
In step 4, we added 8 to both sides. Afterward, divide both sides by 3 to fully isolate x.
The improper fraction 13/3 is the same as the mixed number 4 & 1/3.
