Solve 0.3x-0.6/0.1=0.03x+0.02/0.02-1

$$\frac { 0.3 x - 0.6 } { 0.1 } = \frac { 0.03 x + 0.02 } { 0.02 } - 1$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Divide each term of 0.3x-0.6 by 0.1 to get \frac{0.3x}{0.1}+\frac{-0.6}{0.1}.

$$\frac{0.3x}{0.1}+\frac{-0.6}{0.1}=\frac{0.03x+0.02}{0.02}-1$$

Divide 0.3x by 0.1 to get 3x.

$$3x+\frac{-0.6}{0.1}=\frac{0.03x+0.02}{0.02}-1$$

Expand \frac{-0.6}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$3x-6=\frac{0.03x+0.02}{0.02}-1$$

Divide each term of 0.03x+0.02 by 0.02 to get \frac{0.03x}{0.02}+\frac{0.02}{0.02}.

$$3x-6=\frac{0.03x}{0.02}+\frac{0.02}{0.02}-1$$

Divide 0.03x by 0.02 to get 1.5x.

$$3x-6=1.5x+\frac{0.02}{0.02}-1$$

Divide 0.02 by 0.02 to get 1.

$$3x-6=1.5x+1-1$$

Subtract 1 from 1 to get 0.

$$3x-6=1.5x$$

Subtract 1.5x from both sides.

$$3x-6-1.5x=0$$

Combine 3x and -1.5x to get 1.5x.

$$1.5x-6=0$$

Add 6 to both sides. Anything plus zero gives itself.

$$1.5x=6$$

Divide both sides by 1.5.

$$x=\frac{6}{1.5}$$

Expand \frac{6}{1.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{60}{15}$$

Divide 60 by 15 to get 4.

$$x=4$$