Solve (100+2R)1.25=100+5R

$$(100+2R)1.25 = 100+5R$$

Solve for R

$$R=10$$

Steps for Solving Linear Equation

Use the distributive property to multiply 100+2R by 1.25.

$$125+2.5R=100+5R$$

Subtract 5R from both sides.

$$125+2.5R-5R=100$$

Combine 2.5R and -5R to get -2.5R.

$$125-2.5R=100$$

Subtract 125 from both sides.

$$-2.5R=100-125$$

Subtract 125 from 100 to get -25.

$$-2.5R=-25$$

Divide both sides by -2.5.

$$R=\frac{-25}{-2.5}$$

Expand \frac{-25}{-2.5} by multiplying both numerator and the denominator by 10.

$$R=\frac{-250}{-25}$$

Divide -250 by -25 to get 10.

$$R=10$$