Question

What is the value of x in the equation 3/ 2 ( 4 x − 2 ) − 3 x = 5 − ( x + 2 ) ?

3/2 is a fraction

Answer 1

x =
`(3)/(2)`

Explanation:

Given

`(3)/(2)`(4x - 2) - 3x = 5 - (x + 2) ← distribute parenthesis on both sides

6x - 3 - 3x = 5 - x - 2 , that is

3x - 3 = 3 - x ( add x to both sides )

4x - 3 = 3 ( add 3 to both sides )

4x = 6 ( divide both sides by 4 )

x =
`(6)/(4)` =
`(3)/(2)`

Answer 2

3/2 is the value for X (the picture forced me to crop is so it won’t let me post some steps