Question

Am nevoie de ajutor 0,25*(x+1/3)-1/2*(2x-1/2)=3*(x/2+1intreg din 1/4).

Answer 1

Explicație pas cu pas:

$0,25 \cdot \Big(x + \frac{1}{3} \Big) - \frac{1}{2} \cdot \Big(2x - \frac{1}{2} \Big) = 3 \cdot \Big( \frac{x}{2} + 1 \frac{1}{4} \Big) \\ \frac{1}{4} \cdot \frac{3x + 1}{3} - \frac{1}{2} \cdot \frac{4x - 1}{2} = 3 \cdot \Big( \frac{^{2)} x}{2} + \frac{5}{4} \Big)$

$\frac{3x + 1}{12} - \frac{^{3)} 4x - 1}{4} = \frac{^{3)}6x + 15}{4} \\ 3x + 1 - 3(4x - 1) = 3(6x + 15) \\ 3x + 1 - 12x + 3 = 18x + 45 \\ - 9x + 4 = 18x + 45 \\ 18x + 9x = 4 - 45 \\ 27x = - 41 \implies x = - \frac{41}{27}$