Answer:
[tex]x=4[/tex]Explanation:
Given the equation:
[tex]11x-6=7x+10[/tex]To solve for x, first of all,
Subtract 7x from both sides
[tex]\begin{gathered} 11x-6-7x=7x+10-7x \\ 11x-7x-6=7x-7x+10 \\ 4x-6=10 \end{gathered}[/tex]Next, add 6 to both sides
[tex]\begin{gathered} 4x-6+6=10+6 \\ 4x=16 \end{gathered}[/tex]Next, divide both sides by 4
[tex]\begin{gathered} \frac{4x}{4}=\frac{16}{4} \\ \\ x=4 \end{gathered}[/tex]Therefore, the value of x is 4
