What is the solution to the equation −4(x − 8) =−32 when solving for x ?(1 point) Complete the statement: x = .
To solve the equation −4(x − 8) = −32 for x, we will follow these steps:
Step 1: Distribute the -4 to the terms inside the parentheses.
-4 * x = -4x
-4 * -8 = 32
So, the equation becomes -4x + 32 = -32.
Step 2: Subtract 32 from both sides of the equation to isolate the term with x.
-4x + 32 - 32 = -32 - 32
-4x = -64
Step 3: Divide both sides of the equation by -4 to solve for x.
-4x / -4 = -64 / -4
x = 16
Therefore, the solution to the equation -4(x - 8) = -32 is x = 16.
To solve the equation, −4(x − 8) =−32 for x, we can start by distributing the -4 to the terms inside the parentheses:
-4(x - 8) = -32
-4x + 32 = -32
Next, let's isolate the variable x by subtracting 32 from both sides:
-4x + 32 - 32 = -32 - 32
-4x = -64
Now, divide both sides of the equation by -4 to solve for x:
-4x/-4 = -64/-4
x = 16
Therefore, the solution to the equation is x = 16.
To find the solution to the equation −4(x − 8) =−32 when solving for x, we need to isolate the variable x. Here's how we can do it step by step:
Step 1: Distribute the -4 to the terms inside the parentheses:
-4 * x = -4 * -8
Simplifying this expression gives us:
-4x + 32 = -32
Step 2: Next, we want to get rid of the constant term (+32) on the left side of the equation by subtracting 32 from both sides:
-4x + 32 - 32 = -32 - 32
Simplifying this expression gives us:
-4x = -64
Step 3: Now, we need to isolate the variable x. To do this, we divide both sides of the equation by -4:
(-4x) / -4 = (-64) / -4
Simplifying this expression gives us:
x = 16
So, the solution to the equation −4(x − 8) =−32 when solving for x is:
x = 16.