Answer :
Answer
x = -3/4
Step-by-step explanation
[tex]3(x+4)-5=-1(x-4)[/tex]Distributing:
[tex]\begin{gathered} (3x+3\cdot4)-5=-x+(-1)\operatorname{\cdot}(-4) \\ 3x+12-5=-x+4 \\ 3x+7=-x+4 \end{gathered}[/tex]Adding x and subtracting 7 at both sides of the equation:
[tex]\begin{gathered} 3x+7+x-7=-x+4+x-7 \\ 4x=-3 \end{gathered}[/tex]Dividing by 4 at both sides of the equation:
[tex]\begin{gathered} \frac{4x}{4}=-\frac{3}{4} \\ x=-\frac{3}{4} \end{gathered}[/tex]