Question

1. $3\frac{1}{2} - 4 = -5x$

Explanation:

Step1: Convert mixed number to fraction

$3\frac{1}{2} = \frac{7}{2}$

Step2: Compute left-hand side

$\frac{7}{2} - 4 = \frac{7}{2} - \frac{8}{2} = -\frac{1}{2}$

Step3: Isolate x by dividing both sides

$-\frac{1}{2} = -5x \implies x = \frac{-\frac{1}{2}}{-5}$

Step4: Simplify the fraction

$x = \frac{1}{10}$

Answer:

$x = \frac{1}{10}$