Solve 10=-R/50003+(1+R/5000)(2/10)5

$$10 = \frac { - R } { 5000 } 3 + ( 1 + \frac { R } { 5000 } ) ( \frac { 2 } { 10 } ) 5$$

Solve for R

$$R=-22500$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5000, the least common multiple of 5000,10.

$$50000=\left(-R\right)\times 3+500\left(1+\frac{R}{5000}\right)\times 2\times 5$$

Multiply 500 and 2 to get 1000.

$$50000=\left(-R\right)\times 3+1000\left(1+\frac{R}{5000}\right)\times 5$$

Multiply 1000 and 5 to get 5000.

$$50000=\left(-R\right)\times 3+5000\left(1+\frac{R}{5000}\right)$$

Use the distributive property to multiply 5000 by 1+\frac{R}{5000}.

$$50000=\left(-R\right)\times 3+5000+5000\times \frac{R}{5000}$$

Express 5000\times \frac{R}{5000} as a single fraction.

$$50000=\left(-R\right)\times 3+5000+\frac{5000R}{5000}$$

Cancel out 5000 and 5000.

$$50000=\left(-R\right)\times 3+5000+R$$

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

$$\left(-R\right)\times 3+5000+R=50000$$

Subtract 5000 from both sides.

$$\left(-R\right)\times 3+R=50000-5000$$

Subtract 5000 from 50000 to get 45000.

$$\left(-R\right)\times 3+R=45000$$

Multiply -1 and 3 to get -3.

$$-3R+R=45000$$

Combine -3R and R to get -2R.

$$-2R=45000$$

Divide both sides by -2.

$$R=\frac{45000}{-2}$$

Divide 45000 by -2 to get -22500.

$$R=-22500$$