Question

solve for x.
u • 2x + 32 • v 7 • w
← x + 28 →

Explanation:

Step1: Analyze the segment addition

From the number line, we know that \( UV + VW=UW \). So, \( (2x + 32)+7=x + 28 \).

Step2: Simplify the equation

Simplify the left - hand side of the equation: \( 2x+32 + 7=2x+39 \). So the equation becomes \( 2x+39=x + 28 \).

Step3: Solve for x

Subtract \( x \) from both sides: \( 2x - x+39=x - x + 28 \), which gives \( x+39 = 28 \). Then subtract 39 from both sides: \( x+39-39=28 - 39 \), so \( x=- 11 \).

Answer:

\( x=-11 \)