Equazione

123)

5/4 x  + 1/8 = 1/2 x + 1/4;

mcm = 8; eliminiamo i denominatori;

8 * (5/4 x  + 1/8) = 8 * (1/2 x + 1/4);

10x + 1 = 4x + 2;

10x - 4x = 2 - 1;

6x = 1;

x = 1/6.

- x + 1/3 x = - 1/2 x + 1/4;

mcm = 3 * 4 = 12;

12 * (- x + 1/3 x) = 12 * (- 1/2 x + 1/4);

- 12x + 4x = - 6x + 3;

- 12x + 4x + 6x = 3;

- 2x = 3;

2x = - 3;

x = - 3/2.

Ciao @alessandro_petrelli5480

N°?

125/1

$\small \dfrac{5}{9}x+\dfrac{7}{4}-\dfrac{2}{3} = \dfrac{4}{3}x+\dfrac{1}{2}x+\dfrac{4}{9}$

$\small mcm= 36$ quindi:

$\small 20x+63-24 = 48x+18x+16$

$\small 20x+39 = 66x+16$

$\small 20x-66x = 16-39$

$\small -46x = -23$

$\small 46x = 23$

$\small \dfrac{\cancel{46}x}{\cancel{46}} = \dfrac{\cancel{23}^1}{\cancel{46}_2}$

$\small x= \dfrac{1}{2}$ 

125/2

$\small \dfrac{6}{5}x-4x = \dfrac{1}{15}x+\dfrac{5}{6}+\dfrac{2}{5}-\dfrac{13}{15}x-\dfrac{7}{30}$

$\small mcm= 30$

$\small 36x-120x = 2x+25+12-26x-7$

$\small -84x = -24x+30$

$\small -84x+24x = 30$

$\small -60x = 30$

$\small 60x = -30$

$\small \dfrac{\cancel{60}x}{\cancel{60}} = -\dfrac{\cancel{30}^1}{\cancel{60}_2}$

$\small x = -\dfrac{1}{2}$