Question

Solve x/2+ 0.75 x= 2x/3 =x+1/2​

Answer 1

$\frac{x}{2} + 0.75x = \frac{2x}{3} = \frac{x + 1}{2} \\ \frac{x}{2} + \frac{3x}{4} = \frac{2x}{3} = \frac{x + 1}{2} \\ \frac{2x}{4} + \frac{3x}{4} = \frac{2x}{3} = \frac{x + 1}{2} \\ \frac{5x \times 3}{4 \times 3} = \frac{2x \times 4}{3 \times 4} = \frac{x + 1 \times 6}{2 \times 6} \\ \frac{15x}{12} = \frac{8x}{12} = \frac{6x + 6}{12} \\ 15x = 8x = 6x + 6 \\ 15x - 8x = 6x + 6 \\ 7x - 6x = 6 \\ x = 6$