Question

How to I solve this equation?

Answer 1

x = $\frac{45}{13}$

multiply all terms on both sides of the equation by the lowest common multiple of 3 and 8, that is 24

24 × $\frac{2x}{3}$ = 24 × $\frac{(x - 1)}{8}$ + 2 × 24

16x = 3(x - 1) + 48

16x = 3x - 3 + 48

16x = 3x + 45

subtract 3x from both sides

16x - 3x = 45

13x = 45

divide both sides by 13

x = $\frac{45}{13}$