Solve for n 1n+1.50=0.50n+4.50

$1 n + 1.5 = 0.5 n + 4.5$

Step 1

Multiply $n$ by $1$ .

$n + 1.5 = 0.5 n + 4.5$

Step 2

Move all terms containing $n$ to the left side of the equation.

Subtract $0.5 n$ from both sides of the equation.

$n + 1.5 - 0.5 n = 4.5$

Subtract $0.5 n$ from $n$ .

$0.5 n + 1.5 = 4.5$

Step 3

Move all terms not containing $n$ to the right side of the equation.

Subtract $1.5$ from both sides of the equation.

$0.5 n = 4.5 - 1.5$

Subtract $1.5$ from $4.5$ .

$0.5 n = 3$

Step 4

Divide each term in $0.5 n = 3$ by $0.5$ and simplify.

Divide each term in $0.5 n = 3$ by $0.5$ .

$\frac{0.5 n}{0.5} = \frac{3}{0.5}$

Simplify the left side.

Cancel the common factor of $0.5$ .

Cancel the common factor.

$\frac{0.5 n}{0.5} = \frac{3}{0.5}$

Divide $n$ by $1$ .

$n = \frac{3}{0.5}$

Simplify the right side.

Divide $3$ by $0.5$ .

$n = 6$