Solve for the variable. Determine if there is one solution, infinitely many solutions, or no solution.-6x – 12 = 5(-2x – 3)

Step 1: Distribute the 5 on the right side of the equation to both terms inside the parentheses. This gives us -6x - 12 = -10x - 15.

Step 2: To isolate the variable, we can add 10x to both sides of the equation to get 4x - 12 = -15.

Step 3: Then, add 12 to both sides of the equation to get 4x = -3.

Step 4: Finally, divide both sides of the equation by 4 to solve for x. This gives us x = -3/4.

So, the solution to the equation is x = -3/4. There is one solution.