Question

find ce
c • ( x - 6 ) • d 8 • e
←→ ( 2x - 10 )

Explanation:

Step1: Set up the equation

From the number line, we know that \( CE = CD + DE \). So, \( 2x - 10=(x - 6)+8 \).

Step2: Solve for x

Simplify the right - hand side of the equation: \( (x - 6)+8=x+2 \).
Now we have the equation \( 2x - 10=x + 2 \).
Subtract \( x \) from both sides: \( 2x-x-10=x - x+2 \), which gives \( x - 10 = 2 \).
Add 10 to both sides: \( x-10 + 10=2 + 10 \), so \( x = 12 \).

Step3: Find the length of CE

Substitute \( x = 12 \) into the expression for \( CE \), which is \( 2x-10 \).
\( CE=2\times12-10=24 - 10=14 \).

Answer:

14