[tex] \frac{x - 1}{4} + \frac{x - 2}{3} = 5 \: \: | \times 12 \\ 3(x - 1) + 4(x - 2) = 60 \\ 3x - 3 + 4x - 8 = 60 \\ 7x = 60 + 11 \\ 7x = 71 \\ x = \frac{71}{7} \\ x = 10 \frac{1}{7} [/tex]