Question

`(1)/(4)x+ (1)/(2)= (1)/(4)x- (1)/(2)`

Answer 1

1/4x + 2/4 = 1/4x - 2/4
1/4x - 1/4x = -2/4 - 2/4
0x = 0
x = 0

Answer 2

`(1)/(4)x + (1)/(2) = (1)/(4)x- (1)/(2)`


`\text{Cancel 1/4x on both sides}`


`(1)/(2)=-(1)/(2)`


`\text{There is no solution}`