Answer:
m = 7
Explanation:
To solve for m, we need to apply the distributive property on the right side of the equation as:
[tex]\begin{gathered} 5m-3=4(m+1) \\ 5m-3=(4\cdot m)+(4\cdot1) \\ 5m-3=4m+4 \end{gathered}[/tex]Then, subtract 4m from both sides of the equation:
[tex]\begin{gathered} 5m-3-4m=4m+4-4m \\ m-3=4 \end{gathered}[/tex]Finally, add 3 to both sides:
[tex]\begin{gathered} m-3+3=4+3 \\ m=7 \end{gathered}[/tex]So, the answer is m = 7