Solve (5+x)*.05=.20*x

$$(5+x) \times .05=.20 \times x$$

Solve for x

$$x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5+x by 0.05.

$$0.25+0.05x=0.2x$$

Subtract 0.2x from both sides.

$$0.25+0.05x-0.2x=0$$

Combine 0.05x and -0.2x to get -0.15x.

$$0.25-0.15x=0$$

Subtract 0.25 from both sides. Anything subtracted from zero gives its negation.

$$-0.15x=-0.25$$

Divide both sides by -0.15.

$$x=\frac{-0.25}{-0.15}$$

Expand \frac{-0.25}{-0.15} by multiplying both numerator and the denominator by 100.

$$x=\frac{-25}{-15}$$

Reduce the fraction \frac{-25}{-15} to lowest terms by extracting and canceling out -5.

$$x=\frac{5}{3}$$