Question

-(-5/2x - 3/2)= -3/2+ x

Answer 1

x = - 2

Explanation:

given

- (-
`(5)/(2)` x -
`(3)/(2)` ) = -
`(3)/(2)` + x ← distribute parenthesis on left side by - 1

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

multiply through by 2 to clear the fractions

5x + 3 = - 3 + 2x ( subtract 2x from both sides )

5x - 2x + 3 = - 3 + 2x - 2x ( simplify both sides )

3x + 3 = - 3 ( subtract 3 from both sides )

2x + 3 - 3 = - 3 - 3 ( simplify )

2x = - 6 ( divide both sides by 2 )

`(2)/(2)` x =
`(-6)/(2)` , then

x = - 3