SOLUTION
The equation given is
[tex]\frac{3}{4}(x-8)=6[/tex]
Step1
Multiply both sides by
[tex]\frac{4}{3}[/tex]
We have
[tex]\begin{gathered} \frac{4}{3}\times\frac{3}{4}(x-8)=\frac{4}{3}\times6 \\ \\ x-8=8 \end{gathered}[/tex]
Step2
Add 8 to both sides of the equation
[tex]\begin{gathered} x-8+8=8+8_{} \\ x=16 \end{gathered}[/tex]
Therefore, the correct method that solves the equation is
5. Multiply both sides by 4/3 and then add 8 to both sides of the equation
similarly,
Distribute 3/4 to (x-8)
[tex]\begin{gathered} \frac{3}{4}(x-8)=6 \\ \frac{3}{4}x-6=6 \end{gathered}[/tex]
Then add 6 to both sides
[tex]\begin{gathered} \frac{3}{4}x-6=6 \\ \\ \frac{3}{4}x-6+6=6+6 \\ \frac{3}{4}x=12 \end{gathered}[/tex]
Then multiply both sides by 4/3
[tex]\begin{gathered} \frac{3}{4}x\times\frac{4}{3}=12\times\frac{4}{3} \\ \\ x=16 \end{gathered}[/tex]
Hence
2. Distribute 3/4 to (x-8), then add 6 to both sides and finally multiply both sides by 4/3
Therefore
Distribute 3/4 to (x-8), then add 6 to both sides and finally multiply both sides by 4/3
and
