Question

1. one-step equations

a. solve: ( x + 8 = -3 )
b. solve: ( x - 5 = 12 )

Explanation:

Part A

Step1: Subtract 8 from both sides

To isolate \( x \), we subtract 8 from both sides of the equation \( x + 8 = -3 \). So we have \( x + 8 - 8 = -3 - 8 \).

Step2: Simplify both sides

Simplifying the left side gives \( x \), and simplifying the right side: \( -3 - 8 = -11 \).

Step1: Add 5 to both sides

To isolate \( x \), we add 5 to both sides of the equation \( x - 5 = 12 \). So we have \( x - 5 + 5 = 12 + 5 \).

Step2: Simplify both sides

Simplifying the left side gives \( x \), and simplifying the right side: \( 12 + 5 = 17 \).

Answer:

\( x = -11 \)

Part B