Question

solve the equation x- x-1/2=1- x-2/3​

Answer 1

Answer:

Step-by-step explanation:

x - x -1/2 = 1 - x -2/3

-1/2 = -x -2/3

x = 1/2 - 2/3

x = (3-2)/6

x = 1/6

Answer 2

Answer:

Given,

$x - x - \frac{1}{2} = 1 - x - \frac{2}{3}$

To Find :-

Value of 'x'

Solution :-

$x - x - \frac{1}{2} = 1 - x - \frac{2}{3}$

Transposing all constant terms to Right Hand side and All variable terms to Left Hand Side :-

$x - x + x = 1 - \frac{2}{3} + \frac{1}{2}$

$x = 1 - \frac{2}{3} + \frac{1}{2}$

L.C.M of 3 , 2 = 6

$x = (1 \times \frac{6}{6}) - ( \frac{2}{3} \times \frac{2}{2}) + ( \frac{1}{2} \times \frac{3}{3} )$

$x = \frac{6}{6} - \frac{4}{6} + \frac{3}{6}$

$x = \frac{6 - 4 + 3}{6}$

$x = \frac{2 + 3}{6}$

$x = \frac{5}{6}$

$\sf\therefore$ value of 'x' = $\sf\dfrac{5}{6}$

Know More :-

1) When '+' is transposed to other side it becomes '-' and vice versa.

2) When '÷' is transposed to other side it becomes'*' and vice versa