Solve for n 1/2n+3=6

$\frac{1}{2} n + 3 = 6$

Step 1

Combine $\frac{1}{2}$ and $n$ .

$\frac{n}{2} + 3 = 6$

Step 2

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

Subtract $3$ from both sides of the equation.

$\frac{n}{2} = 6 - 3$

Subtract $3$ from $6$ .

$\frac{n}{2} = 3$

Step 3

Multiply both sides of the equation by $2$ .

$2 \frac{n}{2} = 2 \cdot 3$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{n}{2} = 2 \cdot 3$

Rewrite the expression.

$n = 2 \cdot 3$

Simplify the right side.

Multiply $2$ by $3$ .

$n = 6$