Answer:
[tex]m=2[/tex]
Step-by-step explanation:
[tex]3\left(m+5\right)=3+3\left(2m+2\right)[/tex]
Expand:
[tex]3m+3\times5=3+3\times2m+3\times2[/tex]
[tex]3m+15=3+6m+6[/tex]
[tex]3m+15=6m+9[/tex]
Subtract 15 from both sides:
[tex]3m+15-15=6m+9-15[/tex]
[tex]3m=6m-6[/tex]
Subtract 6m from both sides:
[tex]3m-6m=6m-6-6m[/tex]
[tex]-3m=-6[/tex]
Divide both sides by -3:
[tex]\frac{-3m}{-3}=\frac{-6}{-3}[/tex]
[tex]m=2[/tex]
