Solve 2r-1/2(5-r)=0

$$2 r - \frac { 1 } { 2 } ( 5 - r ) = 0$$

Solve for r

$$r=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{1}{2} by 5-r.

$$2r-\frac{1}{2}\times 5-\frac{1}{2}\left(-1\right)r=0$$

Express -\frac{1}{2}\times 5 as a single fraction.

$$2r+\frac{-5}{2}-\frac{1}{2}\left(-1\right)r=0$$

Fraction \frac{-5}{2} can be rewritten as -\frac{5}{2} by extracting the negative sign.

$$2r-\frac{5}{2}-\frac{1}{2}\left(-1\right)r=0$$

Multiply -\frac{1}{2} and -1 to get \frac{1}{2}.

$$2r-\frac{5}{2}+\frac{1}{2}r=0$$

Combine 2r and \frac{1}{2}r to get \frac{5}{2}r.

$$\frac{5}{2}r-\frac{5}{2}=0$$

Add \frac{5}{2} to both sides. Anything plus zero gives itself.

$$\frac{5}{2}r=\frac{5}{2}$$

Multiply both sides by \frac{2}{5}, the reciprocal of \frac{5}{2}.

$$r=\frac{5}{2}\times \frac{2}{5}$$

Cancel out \frac{5}{2} and its reciprocal \frac{2}{5}.

$$r=1$$