Question

compare 8x + 4 = 5x + 13
8x and 5x:

Explanation:

Step1: Isolate x terms

Subtract $5x$ from both sides:
$8x - 5x + 4 = 5x - 5x + 13$
$\implies 3x + 4 = 13$

Step2: Isolate constant terms

Subtract 4 from both sides:
$3x + 4 - 4 = 13 - 4$
$\implies 3x = 9$

Step3: Solve for x

Divide by 3 on both sides:
$\frac{3x}{3} = \frac{9}{3}$
$\implies x = 3$

Step4: Calculate 8x and 5x

Substitute $x=3$:
$8x = 8\times3 = 24$, $5x = 5\times3 = 15$

Step5: Compare the two values

$24 > 15$

Answer:

$8x > 5x$ (when $x=3$, $8x=24$ and $5x=15$)