Solve -2=-1/2-5+x

$$-2 = \frac{ -1 }{ 2 } -5+x$$

Solve for x

$$x = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$-2=-\frac{1}{2}-5+x$$

Convert 5 to fraction \frac{10}{2}.

$$-2=-\frac{1}{2}-\frac{10}{2}+x$$

Since -\frac{1}{2} and \frac{10}{2} have the same denominator, subtract them by subtracting their numerators.

$$-2=\frac{-1-10}{2}+x$$

Subtract 10 from -1 to get -11.

$$-2=-\frac{11}{2}+x$$

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

$$-\frac{11}{2}+x=-2$$

Add \frac{11}{2} to both sides.

$$x=-2+\frac{11}{2}$$

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

$$x=-\frac{4}{2}+\frac{11}{2}$$

Since -\frac{4}{2} and \frac{11}{2} have the same denominator, add them by adding their numerators.

$$x=\frac{-4+11}{2}$$

Add -4 and 11 to get 7.

$$x=\frac{7}{2}$$