Solve for $$ w $$. $$ 5 w-48=7(w-4) $$ Simplify your answer as much as possible. $$ w=\square $$

Question

UpStudy AI · Accepted Answer

To solve the equation $$ 5w - 48 = 7(w - 4) $$, follow these steps:

1. **Expand the right side:**
   $$
   5w - 48 = 7w - 28
   $$

2. **Subtract $$ 5w $$ from both sides to get the terms involving $$ w $$ on one side:**
   $$
   -48 = 2w - 28
   $$

3. **Add 28 to both sides to isolate the term with $$ w $$:**
   $$
   -20 = 2w
   $$

4. **Divide both sides by 2 to solve for $$ w $$:**
   $$
   w = -10
   $$

So, the solution is:

$$
w = -10
$$
$$ w = -10 $$

Solve for \( w \). \[ 5 w-48=7(w-4) \] Simplify your answer as much as possible. \( w=\square \)