Question

Solve : x/2 + 0.75x = 2x/3 - x+1/2.​

Answer 1

Answer:

$\frac{x}{2} + 0.75x = \frac{2x}{3} - \frac{x + 1}{2 } \\ \\ rhs = \frac{2x \times 2 - (x + 1) \times 3}{6} = \frac{4x - 3x + 3}{6} \\ \\ = \frac{x + 3}{6} \\ \\ lhs = \frac{x}{2} + 0.75x \\ = \frac{x + 0.75x \times 2}{2} = \frac{x + 1.5x}{2} = \frac{2.5x}{2 } \\ \\ \frac{x + 3}{6} = \frac{2.5x}{2} \\ \\ (x + 3)2 = (2.5x)6 \\ \\ 2x + 6 = 15x \\ \\15x - 2x = 6 \\ \\ 13x = 6 \\ \\ x = \frac{6}{13}$