Question

3x-2/4 - 4-x/2 = 2x- 7x-2/3

me Ajudem

Answer 1

$\dfrac{3x-2}{4}- \dfrac{4-x}{2} = 2x- \dfrac{7x-2}{3} \\ \\ \\ \dfrac{3x-2}{4}- \dfrac{2(4-x)}{4} = \dfrac{6x-(7x-2)}{3} \\ \\ \\ \dfrac{3x-2-8+2x}{4} = \dfrac{6x-7x+2}{3} \\ \\ \\ \dfrac{5x-10}{4} = \dfrac{-x+2}{3} \\ \\ \\ (5x-10)*3= (-x+2)*4 \\ \\ 15x-30=-4x+8 \\ \\ 15x+4x= 8+30 \\ \\ 19x=38\qquad \to\quad x= \dfrac{38}{19} \qquad \to \boxed{x=2}$

Answer 2

3x - 2    -  4 - x    =  2x - 7x - 2
---------     --------            ---------- 
    4              2                    3

mmc (4,2,3) = 12

4,2,3: 2
2,1,3: 2
1,1,3: 3
-----------------
1,1,1  = 2.2.3 = 12

3.(3x - 2) - 6.(4 - x)  =  12.2x - 4.(7x - 2)
-------------------------      -------------------------
           12                                   12

9x - 6 - 24 + 6x = 24x - 28x + 8
9x - 30 + 6x = - 4x + 8
15x - 30 = - 4x + 8
15x + 4x = 8 + 30
19x = 38
x = 38/19
x = 2