What value of x makes this equation true? 10x - 6 = 3 = 3/x+ 1 /

Answer:
15/14
Explanation:
Given the below equation;
[tex]\begin{gathered} 10x-6=3(x+\frac{1}{2}) \\ \end{gathered}[/tex]The 1st step to solving the above is to open the parenthesis;
[tex]10x-6=3x+\frac{3}{2}[/tex]The 2nd step is to add subtract 3x and add 6 to both sides of the equation and solve for x;
[tex]\begin{gathered} 10x-3x=6+\frac{3}{2} \\ 7x=\frac{15}{2} \\ 14x=15 \\ x=\frac{15}{14} \end{gathered}[/tex]