Question

Rezolvati ecuatia : $\frac{1}{3} (1-\frac{4x-3}{2}=x$ , unde x apartine lui Q

Answer 1

$\frac{1}{3}(1 - \frac{4x - 3}{2}) = x \\ \\ 3 \times \frac{1}{3} \times (1 - \frac{4x - 3}{2}) = 3x \\ \\ 1 - \frac{4x - 3}{2} = 3x \\ \\ 2(1 - \frac{4x - 3}{2}) = 2 \times 3x \\ \\ 2 - 2 \times \frac{4x - 3}{2} = 6x \\ \\ 2 - (4x - 3) = 6x \\ \\ 2 - 4x + 3 = 6x \\ \\ 5 - 4x = 6x \\ \\ - 4x + 5 - 5 = 6x - 5 \\ \\ - 4x = 6x - 5 \\ \\ - 4x - 6x = 6x - 6x - 5 \\ \\ - 4x - 6x = - 5 \\ \\ ( - 4 - 6)x = - 5 \\ \\ - 10x = - 5 \\ \\ - 10x : ( - 10) = - 5 : ( - 10) \\ \\ x = - 5 : ( - 10) \\ \\ x = 5 : 10 \\ \\ x = \frac{5}{10} ^{(5} \\ \\ x = \frac{1}{2}$