Answer
$x=-3$
Work Step by Step
Step 1: $\frac{4x}{5}+\frac{3}{2}=\frac{3x}{10}$
Step 2: $\frac{4x(2)+3(5)}{10}=\frac{3x}{10}$
Step 3: $\frac{8x+15}{10}=\frac{3x}{10}$
Step 4: $10(8x+15)=10(3x)$
Step 5: $8x+15=3x$
Step 6: $8x-3x=-15$
Step 7: $5x=-15$
Step 8: $x=-3$
