Question

Linear equations in one variable

Answer 1

x =
`(3)/(5)`

Explanation:

`(x+1)/(3)` -
`(x-1)/(2)` =
`(1+2x)/(3)`

multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions

2(x + 1) - 3(x - 1) = 2(1 + 2x) ← distribute parenthesis on both sides

2x + 2 - 3x + 3 = 2 + 4x

- x + 5 = 2 + 4x ( subtract 4x from both sides )

- 5x + 5 = 2 ( subtract 5 from both sides )

- 5x = - 3 ( divide both sides by - 5 )

x =
`(-3)/(-5)` =
`(3)/(5)`