Question

How many solutions does the equation 5(m + 3) = 6-7m have? Explain how you found your answer.

Answer 1

`5(m+3)=6-7m`

Expand the left hand side using distributive property:

`\begin{gathered} 5\cdot m+5\cdot3=6-7m \\ 5m+15=6-7m \\ \text{Add 7m to both sides:} \\ 5m+15+7m=6-7m+7m \\ 12m+15=6 \\ \text{subtract 15 from both sides:} \\ 12m+15-15=6-15 \\ 12m=-9 \\ \text{divide both sides by 12:} \\ (12)/(12)m=-(9)/(12) \\ m=-(3)/(4) \end{gathered}`