Question

What is -8 (x - 1) = -32

Answer 1

To solve the equation -8 (x - 1) = -32, distribute -8 across the parentheses, subtract 8 from both sides, and finally divide both sides by -8, which gives x = 5.

Step-by-step explanation:

The equation given is -8 (x - 1) = -32. To solve for x, start by distributing the -8 across the parentheses:

-8 * x + 8 = -32

Once the equation is simplified, it becomes:

-8x + 8 = -32

To isolate the variable x, you need to do two things: subtract 8 from both sides of the equation, and then divide both sides by -8. According to LibreTexts™, addition or subtraction of the same number on the two sides of an equation does not change the equality, so you can perform these operations freely.

-8x + 8 - 8 = -32 - 8

-8x = -40

Now, divide by -8 to get:

x = 5

Answer 2

x=5

Step-by-step explanation:

−8(x−1)=−32

(−8)(x)+(−8)(−1)=−32

−8x+8=−32

Step 2: Subtract 8 from both sides.

−8x+8−8=−32−8

−8x=−40

Step 3: Divide both sides by -8.

−8x -40

−8 =−8

x=5