Question

Solve for w.

2w−5(w+1)=3w+1

Answer 1

W=-1

i hope that this helps

Answer 2

Answer:

$w=-1$.

Step-by-step explanation:

We have been given an equation $2w-5(w+1)=3w+1$. We are asked the equation for w.

Using distributive property $a(b+c)=ab+ac$, we will get:

$2w-5w-5=3w+1$

$-3w-5=3w+1$

Subtract 3w from both sides:

$-3w-3w-5=3w-3w+1$

$-3w-3w-5=1$

Combine like terms:

$-6w-5=1$

Add 5 on both sides:

$-6w-5+5=1+5$

$-6w=6$

Divide both sides by -6:

$\frac{-6w}{-6}=\frac{6}{-6}$

$w=-1$

Therefore, our required equation would be $w=-1$.