Solve 0.05*100+x=0.25left(100+xright)

$$0.05 \cdot 100+x = 0.25 \left( 100+x \right)$$

Solve for x

$$x = \frac{80}{3} = 26\frac{2}{3} \approx 26.666666667$$

Steps for Solving Linear Equation

Multiply 0.05 and 100 to get 5.

$$5+x=0.25\left(100+x\right)$$

Use the distributive property to multiply 0.25 by 100+x.

$$5+x=25+0.25x$$

Subtract 0.25x from both sides.

$$5+x-0.25x=25$$

Combine x and -0.25x to get 0.75x.

$$5+0.75x=25$$

Subtract 5 from both sides.

$$0.75x=25-5$$

Subtract 5 from 25 to get 20.

$$0.75x=20$$

Divide both sides by 0.75.

$$x=\frac{20}{0.75}$$

Expand \frac{20}{0.75} by multiplying both numerator and the denominator by 100.

$$x=\frac{2000}{75}$$

Reduce the fraction \frac{2000}{75} to lowest terms by extracting and canceling out 25.

$$x=\frac{80}{3}$$