Question

What is the value of w in the equation 3/4w+8=w-7

Answer 1

Step 1. Simplify $\frac{3}{4}w$ to $\frac{3w}{4}$

$\frac{3w}{4} +8=w-7$

Step 2. Multiply both sides by 4

$3w+32=4w-28$

Step 3. Subtract $3w$ from both sides

$32=4w-28-3w$

Step 4.  Simplify $4w-28-3w$ to $w-28$

$32=w-28$

Step 5. Simplify 32 + 28 to 60

$60=w$

Step 6. Switch sides

$w=60$

Answer 2

3/4w+8=w-7, add 7 to both sides 3/4w+15=w,subtract 3/4w from each side and you get 15=1/4w 3.75=w