Question

What is the value of n in the equation 1/2(n-4)-3=3− (2n + 3)?

Answer 1

n = 2

Explanation:

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

`(1)/(2)` n - 2 - 3 = 3 - 2n - 3 ( simplify both sides )

`(1)/(2)` n - 5 = - 2n ( multiply through by 2 to clear the fraction )

n - 10 = - 4n ( add 4n to both sides )

5n - 10 = 0 ( add 10 to both sides )

5n = 10 ( divide both sides by 5 )

n = 2