What is the solution to the equation `5(2w+4) = 4(2w+9)?`

Answer 1

To solve this equation, we first need to distribute the numbers outside the parentheses:

5(2w + 4) = 10w + 20

4(2w + 9) = 8w + 36

Now the equation becomes:

10w + 20 = 8w + 36

Subtract 8w from both sides:

10w - 8w + 20 = 36

2w + 20 = 36

Subtract 20 from both sides:

2w + 20 - 20 = 36 - 20

2w = 16

Now, divide by 2:

w = 8

Therefore, the solution to the equation 5(2w+4) = 4(2w+9) is w = 8.