Solve 3-x/0.02=2.4-x/0.01

$$\frac{ 3-x }{ 0.02 } = \frac{ 2.4-x }{ 0.01 }$$

Solve for x

$$x=1.8$$

Steps for Solving Linear Equation

Divide each term of 3-x by 0.02 to get \frac{3}{0.02}+\frac{-x}{0.02}.

$$\frac{3}{0.02}+\frac{-x}{0.02}=\frac{2.4-x}{0.01}$$

Expand \frac{3}{0.02} by multiplying both numerator and the denominator by 100.

$$\frac{300}{2}+\frac{-x}{0.02}=\frac{2.4-x}{0.01}$$

Divide 300 by 2 to get 150.

$$150+\frac{-x}{0.02}=\frac{2.4-x}{0.01}$$

Divide -x by 0.02 to get -50x.

$$150-50x=\frac{2.4-x}{0.01}$$

Divide each term of 2.4-x by 0.01 to get \frac{2.4}{0.01}+\frac{-x}{0.01}.

$$150-50x=\frac{2.4}{0.01}+\frac{-x}{0.01}$$

Expand \frac{2.4}{0.01} by multiplying both numerator and the denominator by 100. Anything divided by one gives itself.

$$150-50x=240+\frac{-x}{0.01}$$

Divide -x by 0.01 to get -100x.

$$150-50x=240-100x$$

Add 100x to both sides.

$$150-50x+100x=240$$

Combine -50x and 100x to get 50x.

$$150+50x=240$$

Subtract 150 from both sides.

$$50x=240-150$$

Subtract 150 from 240 to get 90.

$$50x=90$$

Divide both sides by 50.

$$x=\frac{90}{50}$$

Reduce the fraction \frac{90}{50} to lowest terms by extracting and canceling out 10.

$$x=\frac{9}{5}$$