Solving the Equation: 144 = -12(x+5)
In this article, we will solve the equation 144 = -12(x+5) and find the value of x.
Step 1: Simplify the Right-Hand Side
First, let's simplify the right-hand side of the equation by multiplying -12 with the terms inside the parentheses:
-12(x+5) = -12x - 60
So, the equation becomes:
144 = -12x - 60
Step 2: Add 60 to Both Sides
Next, let's add 60 to both sides of the equation to get rid of the negative term:
144 + 60 = -12x - 60 + 60
This simplifies to:
204 = -12x
Step 3: Divide Both Sides by -12
Now, let's divide both sides of the equation by -12 to solve for x:
x = -204/12
x = -17
Answer
Therefore, the value of x is -17.
So, the solution to the equation 144 = -12(x+5) is x = -17.