Question

2x+3/2 =5- 2(x-4)/3​

Answer 1

Step-by-step explanation:

$2x + \frac{3}{2} = 5 - \frac{2(x - 4)}{3} \\ \\ \frac{4x + 3}{2} = \frac{15 - 2x + 8}{3} \\ \\ 3(4x + 3) = 2(15 - 2x + 8) \\ \\ 12x + 9 = 2(23 - 2x) \\ \\ 12x + 9 = 46 - 4x \\ \\ 12x + 4x = 46 - 9 \\ \\ 16x = 37 \\ \\ x = \frac{37}{16}$

Answer 2

Step-by-step explanation:

$2x + \frac{3}{2} = 5 - 2 \frac{(x - 4)}{3} \\ \frac{4x + 3}{2} = 3 \times \frac{(x - 4)}{3} \\ \frac{4x + 3}{2} = x - 4 \\ 4x + 3 = 2(x - 4) \\ 4x + 3 = 2x - 8 \\ 4x - 2x = - 8 - 3 \\ 2x = - 11 \\ x = \frac{ - 11}{2}$