Solve the equation.

I need to know what W would be?
5(W + 2) − 6(W + 4) = 0

expand, then collect like terms

5w + 10 - 6w - 24 = 0
-w = 24-10
-w = 14
w = -14

thank you because once i combined the like terms I got -w -14 but I got a negative with w also, so I thought I would divide something else any thanks I understand it now...

To solve the equation 5(W + 2) - 6(W + 4) = 0 and find the value of W, we need to follow these steps:

Step 1: Distribute the factors across the parentheses.
First, apply the distributive property by multiplying each term inside the parentheses with their respective coefficients outside the parentheses:
5 * W + 5 * 2 - 6 * W - 6 * 4 = 0

Simplifying the equation gives us:
5W + 10 - 6W - 24 = 0

Step 2: Combine like terms.
Combine the "W" terms and the constant terms on both sides of the equation:
(5W - 6W) + (10 - 24) = 0

This simplifies to:
-W - 14 = 0

Step 3: Isolate the variable "W."
To isolate the "W" term, we need to move the constant term to the other side of the equation. We can achieve this by adding 14 to both sides of the equation:
-W - 14 + 14 = 0 + 14

Simplifying the equation gives us:
-W = 14

Step 4: Solve for W.
Finally, to solve for W, we want to isolate the variable by multiplying both sides of the equation by -1 (positive/negative multiplication is equivalent to dividing by -1):
-W * (-1) = 14 * (-1)

This simplifies to:
W = -14

Therefore, the value of W in the equation 5(W + 2) - 6(W + 4) = 0 is W = -14.