Question

31 the model represents an equation. what value of x makes the equation true? (enter your answer as a fraction)

Explanation:

Step1: Translate model to equation

Count the $x$ terms and constants:
Bottom model: $3x + 10$
Top model: $6x + (-8)$
Set equal: $3x + 10 = 6x - 8$

Step2: Isolate x terms

Subtract $3x$ from both sides:
$10 = 3x - 8$

Step3: Isolate constant terms

Add 8 to both sides:
$18 = 3x$

Step4: Solve for x

Divide by 3:
$x = \frac{18}{3} = 6$

Answer:

$6$