Solve for x: 20x−5(6x+15)=−45.
To solve for x, we need to simplify the equation first.
Starting with the left side of the equation:
20x - 5(6x + 15)
Using the distributive property:
20x - 30x - 75
Combining like terms:
-10x - 75
Now, we can set this equal to the right side of the equation:
-10x - 75 = -45
Next, let's isolate the variable x by first adding 75 to both sides of the equation:
-10x - 75 + 75 = -45 + 75
-10x = 30
Now, to solve for x, we divide both sides of the equation by -10:
-10x / -10 = 30 / -10
x = -3
Therefore, the solution to the equation is x = -3.