Question

1. $5(6x - 3) = 3(8x + 1)$

Explanation:

Step1: Expand both sides

$5(6x - 3) = 30x - 15$; $3(8x + 1) = 24x + 3$
Equation becomes: $30x - 15 = 24x + 3$

Step2: Isolate x terms

Subtract $24x$ from both sides:
$30x - 24x - 15 = 3$
$6x - 15 = 3$

Step3: Isolate constant terms

Add 15 to both sides:
$6x = 3 + 15$
$6x = 18$

Step4: Solve for x

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

Answer:

$x = 3$