[tex]-\frac{3}{5}x+7=x-1[/tex]
Solve for x:
Multiply both sides by 5:
[tex]\begin{gathered} 5\cdot(-\frac{3}{5}x+7)=5\cdot(x-1) \\ -3x+35=5x-5 \end{gathered}[/tex]
Add 3x to both sides:
[tex]\begin{gathered} -3x+35+3x=5x-5+3x \\ 35=8x-5 \end{gathered}[/tex]
Add 5 to both sides:
[tex]\begin{gathered} 35+5=8x-5+5 \\ 40=8x \end{gathered}[/tex]
Divide both sides by 8:
[tex]\begin{gathered} \frac{40}{8}=\frac{8x}{8} \\ 5=x \\ x=5 \end{gathered}[/tex]
Answer:
x = 5
