Question

practice problems

1. 5x - 2 = -32
2. -x + 7 = -2

Explanation:

Problem 3: Solve \( 5x - 2 = -32 \)

Step 1: Add 2 to both sides

To isolate the term with \( x \), we add 2 to both sides of the equation. This gives us:
\( 5x - 2 + 2 = -32 + 2 \)
Simplifying both sides, we get:
\( 5x = -30 \)

Step 2: Divide by 5

To solve for \( x \), we divide both sides of the equation by 5:
\( \frac{5x}{5} = \frac{-30}{5} \)
Simplifying, we find:
\( x = -6 \)

Problem 4: Solve \( -x + 7 = -2 \)

Step 1: Subtract 7 from both sides

To isolate the term with \( x \), we subtract 7 from both sides of the equation:
\( -x + 7 - 7 = -2 - 7 \)
Simplifying both sides, we get:
\( -x = -9 \)

Step 2: Multiply by -1

To solve for \( x \), we multiply both sides of the equation by -1:
\( (-1)(-x) = (-1)(-9) \)
Simplifying, we find:
\( x = 9 \)

Answer:

Problem 3: \( \boldsymbol{x = -6} \)
Problem 4: \( \boldsymbol{x = 9} \)