Question

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

Answer 1

Equation.

1/2(n-4) -3 = 3 - (2 n + 3)

1/2 n - 2 - 3 = 3 - 2 n -3

Solving.
1/2 n - 5 = - 2 n

2 n + 1/2 n = 5

2.5 n = 5

n = 2

Answer 2

n = 2

Explanation:

We first use the distributive property on both sides:

1/2(n)-1/2(4)-3 = 3-(2n)-(3)

1/2n - 2 - 3 = 3 - 2n - 3

Combining like terms on both sides,

1/2n - 5 = -2n

Subtracting 1/2n from both sides:

1/2n - 5 - 1/2n = -2n - 1/2n

-5 = (-2 1/2)n

Divide both sides by -2 1/2:

-5/(-2 1/2) = (-2 1/2)n/(-2 1/2)

2 = n