Solve

-3(5x+6)=57

To solve the equation -3(5x + 6) = 57, we need to apply the distributive property and simplify the equation.

First, distribute the -3 to the terms inside the parentheses:
-3 * 5x = -15x
-3 * 6 = -18

The equation becomes -15x - 18 = 57.

Next, let's isolate the variable x by getting rid of the constant term on the left side of the equation. To do this, we'll add 18 to both sides:
-15x - 18 + 18 = 57 + 18
-15x = 75

Now, divide both sides of the equation by -15 to solve for x:
-15x / -15 = 75 / -15
x = -5

Therefore, the solution to the equation -3(5x + 6) = 57 is x = -5.