x = [tex]\frac{45}{13}[/tex]
multiply all terms on both sides of the equation by the lowest common multiple of 3 and 8, that is 24
24 × [tex]\frac{2x}{3}[/tex] = 24 × [tex]\frac{(x - 1)}{8}[/tex] + 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 = [tex]\frac{45}{13}[/tex]
