We need to solve the following equation:
[tex]-5\mleft(x+1\mright)+3x-3=-14[/tex]let's do it step by step.
1. add 3 to both sides
[tex]-5\mleft(x+1\mright)+3x-3+3=-14+3[/tex]2. Simplify
[tex]-5\mleft(x+1\mright)+3x=-11[/tex]3. expand and solve
[tex]\begin{gathered} -5x-5+3x=11 \\ -2x-5=-11 \end{gathered}[/tex]4. add 5 to both sides
[tex]-2x-5+5=-11+5[/tex]5. Simplify
[tex]-2x=-6[/tex]6. divide both sides by 2
[tex]\frac{-2x}{-2}=\frac{-6}{-2}[/tex]7. Simplify
[tex]x=3[/tex]