8x+3/7 = 10x-1/7

1. Multiply both sides by 7: $$8x+3 = 10x-1$$

2. Subtract $$8x$$ from both sides: $$3 = 2x-1$$

3. Add 1 to both sides: $$4 = 2x$$

4. Solve for x: $$x = 2$$