Answer:
x=6
Explanation:
Given the equation:
[tex]\frac{4x-3}{3}=\frac{x+8}{2}[/tex]
First, cross multiply:
[tex]2(4x-3)=3(x+8)[/tex]
Next, open the brackets:
[tex]8x-6=3x+24[/tex]
Subtract 3x from both sides of the equation:
[tex]\begin{gathered} 8x-3x-6=3x-3x+24 \\ 5x-6=24 \end{gathered}[/tex]
Add 6 to both sides of the equation:
[tex]\begin{gathered} 5x-6+6=24+6 \\ 5x=30 \end{gathered}[/tex]
Finally, divide both sides by 5:
[tex]\begin{gathered} \frac{5x}{5}=\frac{30}{5} \\ x=\frac{6\times5}{5} \\ x=6 \end{gathered}[/tex]
The value of x is 6.
