Solve 1/2+2=-1/2n

$$\frac { 1 } { 2 } + 2 = - \frac { 1 } { 2 } n$$

Solve for n

$$n=-5$$

Steps for Solving Linear Equation

Convert 2 to fraction \frac{4}{2}.

$$\frac{1}{2}+\frac{4}{2}=-\frac{1}{2}n$$

Since \frac{1}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

$$\frac{1+4}{2}=-\frac{1}{2}n$$

Add 1 and 4 to get 5.

$$\frac{5}{2}=-\frac{1}{2}n$$

Swap sides so that all variable terms are on the left hand side.

$$-\frac{1}{2}n=\frac{5}{2}$$

Multiply both sides by -2, the reciprocal of -\frac{1}{2}.

$$n=\frac{5}{2}\left(-2\right)$$

Express \frac{5}{2}\left(-2\right) as a single fraction.

$$n=\frac{5\left(-2\right)}{2}$$

Multiply 5 and -2 to get -10.

$$n=\frac{-10}{2}$$

Divide -10 by 2 to get -5.

$$n=-5$$