Question

x+1/2=x-1/3 solve it by using transposition method and verify your answer by substituting it in the equation​

Answer 1

Answer:

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

Answer 2

Answer:

$\frac{x + 1}{2} = \frac{x - 1}{3} \\ \\ = 3(x + 1) = 2(x - 1) \\ \\ = 3x + 3 = 2x - 2 \\ \\ = 3x - 2x = - 2 - 3 \\ \\ x = - 5$