Answer
$\frac{2}{5}x-1=\frac{3}{10}x+3$ Solution: $x=40$
Work Step by Step
1. $\frac{2}{5}x-1=\frac{3}{10}x+3$
2. Add 1 to each side: $\frac{2}{5}x=\frac{3}{10}x+4$
3. Divide each side by $\frac{2}{5}$ (equivalent to multiplying each side by $\frac{5}{2}$):$x=\frac{15}{20}x+\frac{20}{2}$
4. Reduce fractions: $x=\frac{3}{4}x+10$
5. Subtract $\frac{3}{4}x$ from each side: $\frac{1}{4}x=10$
6. Divide each side by $\frac{1}{4}$ (equivalent to multiply each side by 4): $x=40$
