Respuesta :
Answer:
[tex]w=-1[/tex].
Step-by-step explanation:
We have been given an equation [tex]2w-5(w+1)=3w+1[/tex]. We are asked the equation for w.
Using distributive property [tex]a(b+c)=ab+ac[/tex], we will get:
[tex]2w-5w-5=3w+1[/tex]
[tex]-3w-5=3w+1[/tex]
Subtract 3w from both sides:
[tex]-3w-3w-5=3w-3w+1[/tex]
[tex]-3w-3w-5=1[/tex]
Combine like terms:
[tex]-6w-5=1[/tex]
Add 5 on both sides:
[tex]-6w-5+5=1+5[/tex]
[tex]-6w=6[/tex]
Divide both sides by -6:
[tex]\frac{-6w}{-6}=\frac{6}{-6}[/tex]
[tex]w=-1[/tex]
Therefore, our required equation would be [tex]w=-1[/tex].
