OpenStudy (anonymous):

5(m + 4) = 2(m + 2) +4

5 years ago
OpenStudy (anonymous):

$\large 5(m + 4) = 2(m + 2) +4$ Distributive property- distribute the $$5$$ to $$(m+4)$$ and the $$2$$ to $$(m+2)$$:$5(m + 4) = 2(m + 2) +4$$(\color{blue}{5\times} m+\color{blue}{5\times}4)=(\color{blue}{2\times} m+\color{blue}{2\times}2)+4$$\implies~~~\color{red}{5m}+\color{red}{20}=\color{red}{2m}+\color{red}{4}+4$Add/Combine like terms:$5m+20=2m+4+4$$5m+20=2m+\color{red}{8}$Subtraction Property of Equality- subtract $$20$$ from both sides:$5m+20=2m+8$$5m+20\color{blue}{-20}=2m+8\color{blue}{-20}$$\implies~5m+\color{red}{0}=2m\color{red}{-12}$Subtraction Property of Equality- subtract $$2m$$ from both sides:$5m=2m-12$$5m\color{blue}{-2m}=2m\color{blue}{-2m}-12$$\implies~\color{red}{3m}=\color{red}{0}-12$Division Property of Equality- divide both sides by $$3$$:$3m=-12$${3m\over{\color{blue}{3}}}={-12\over{\color{blue}{3}}}$$\implies~\color{red}{m}=\color{red}{-4}$ $\large\color{purple}{m=-4}$

5 years ago