Question

Resolver a equação:
A) \frac{x}{2} + \frac{x}{3} - \frac{x}{4} =14
B) x+ \frac{x}{2} + \frac{3x}{4} =18
C) \frac{x}{2} + \frac{x}{3} = \frac{7+2x}{3}
D) \frac{3x-2}{4} - \frac{4-x}{2} =2x- \frac{7x-2}{3}

Answer 1

a) x/2 + x/3 - x/4 = 14
6x + 4x - 3x = 14
7x = 14
x = 14/7
x = 2

b) x + x/2 + 3x /4 = 18
4x + 2x + 3x = 18
9x = 18
x = 18/9
x = 2

c) x/2 + x/3 = (7 + 2x)/3
3x + 2x = ( 7+ 2x)/3
5x = ( 7 + 2x )/3
15x = 7 + 2x
15x - 2x = 7
13x = 7
13/7 = x

d) 3x - 2 /4 - 4 - x /2 = 2 x - 7x - 2 /3
3x - 2 - 8 - 2x = 2x - 7x - 2/3
3x - 2 - 8 = - 7x - 2/3
9x - 6 - 24 = - 7x - 2
9x + 7x = -2 + 6 + 24
16x = 28
x = 28/16 :4
x = 7/8