hello
the question given is an equation and we need to solve for m. let's do this in a step-wise manner
[tex]10m+8=7m+17[/tex]step 1
collect like terms
to do this, we keep coefficient of m in one side and numbers in another side of the equation
[tex]\begin{gathered} 10m+8=7m+17 \\ 10m-7m=17-8 \\ 3m=9 \end{gathered}[/tex]step 2
divide both sides by 3 to solve for m
[tex]\begin{gathered} 3m=9 \\ \frac{3m}{3}=\frac{9}{3} \\ m=3 \end{gathered}[/tex]from the calculations above, the value of m = 3