[tex]5x+7=\frac{(-15x-1)}{3}+\frac{4}{3}[/tex]
Multiplicative property of equality
[tex]\begin{gathered} Multiply\text{ both sides by 3} \\ (5x+7)3=\frac{3(-15x-1)}{3}+3(\frac{4}{3}) \end{gathered}[/tex]
Distributive property of equality
[tex]3(5x+7)=-15x-1+4[/tex]
Associative property
[tex]\begin{gathered} 15x+21=-15x-1+4 \\ 15x+21=-15x+3 \end{gathered}[/tex]
Subtraction property of equality
[tex]\begin{gathered} 15x+21-21=-15x+3-21 \\ 15x=-15x-18 \end{gathered}[/tex]
Addition property of equality
[tex]\begin{gathered} 15x+15x=-15x+15x-18 \\ 30x=-18 \end{gathered}[/tex]
Division property of inequality
[tex]\begin{gathered} \text{divide both sides by 30} \\ \frac{-18}{30}=\frac{30x}{30} \\ x=-\frac{18}{30}=-\frac{3}{5} \end{gathered}[/tex]
