(2X + 3) +( 3X + 4) + (5X + 5) = 12 - 7x

To solve the equation, we need to simplify both sides by combining like terms.

On the left side of the equation, we have: (2X + 3) + (3X + 4) + (5X + 5)

First, we combine the X terms: 2X + 3X + 5X = 10X

Then, we combine the constant terms: 3 + 4 + 5 = 12

So the left side simplifies to: 10X + 12

Now let's simplify the right side of the equation: 12 - 7X

Since there are no like terms, the right side remains as it is.

Now our equation is: 10X + 12 = 12 - 7X

Next, we want to isolate the X term on one side of the equation. We can do this by adding 7X to both sides of the equation:

10X + 7X + 12 = 12 - 7X + 7X

Simplifying, we get: 17X + 12 = 12

Now, we want to isolate the constant term on the opposite side of the equation. We can do this by subtracting 12 from both sides of the equation:

17X + 12 - 12 = 12 - 12

Simplifying, we get: 17X = 0

Finally, we solve for X by dividing both sides of the equation by 17:

(17X)/17 = 0/17

Simplifying, we get: X = 0

Therefore, the solution to the equation is X = 0.