-3(-4x-3)=-27
First, let's simplify the expression on the left side of the equation:
-3(-4x - 3) = -3 * -4x - 3 * -3
= 12x + 9
Now, we rewrite the original equation with the simplified expression:
12x + 9 = -27
Next, let's isolate the variable term by subtracting 9 from both sides of the equation:
12x + 9 - 9 = -27 - 9
12x = -36
Finally, we solve for x by dividing both sides of the equation by 12:
12x/12 = -36/12
x = -3
To solve the equation -3(-4x-3) = -27, we will follow these steps:
Step 1: Simplify the expression on the left side of the equation.
Distribute -3 to both terms inside the parentheses.
-3 * -4x = 12x
-3 * -3 = 9
The equation now becomes:
12x + 9 = -27
Step 2: Move the constant term to the other side of the equation.
To isolate the variable term (12x), subtract 9 from both sides of the equation.
12x + 9 - 9 = -27 - 9
12x = -36
Step 3: Solve for x.
To solve for x, divide both sides of the equation by 12.
(12x) / 12 = (-36) / 12
x = -3
The solution to the equation -3(-4x-3) = -27 is x = -3.