Solve 0.1x-0.3/0.03-2x+1/0.2=1.2

$$\frac{ 0.1x-0.3 }{ 0.03 } - \frac{ 2x+1 }{ 0.2 } =1.2$$

Solve for x

$$x=-2.43$$

Steps for Solving Linear Equation

Divide each term of 0.1x-0.3 by 0.03 to get \frac{0.1x}{0.03}+\frac{-0.3}{0.03}.

$$\frac{0.1x}{0.03}+\frac{-0.3}{0.03}-\frac{2x+1}{0.2}=1.2$$

Divide 0.1x by 0.03 to get \frac{10}{3}x.

$$\frac{10}{3}x+\frac{-0.3}{0.03}-\frac{2x+1}{0.2}=1.2$$

Expand \frac{-0.3}{0.03} by multiplying both numerator and the denominator by 100.

$$\frac{10}{3}x+\frac{-30}{3}-\frac{2x+1}{0.2}=1.2$$

Divide -30 by 3 to get -10.

$$\frac{10}{3}x-10-\frac{2x+1}{0.2}=1.2$$

Divide each term of 2x+1 by 0.2 to get \frac{2x}{0.2}+\frac{1}{0.2}.

$$\frac{10}{3}x-10-\left(\frac{2x}{0.2}+\frac{1}{0.2}\right)=1.2$$

Divide 2x by 0.2 to get 10x.

$$\frac{10}{3}x-10-\left(10x+\frac{1}{0.2}\right)=1.2$$

Expand \frac{1}{0.2} by multiplying both numerator and the denominator by 10.

$$\frac{10}{3}x-10-\left(10x+\frac{10}{2}\right)=1.2$$

Divide 10 by 2 to get 5.

$$\frac{10}{3}x-10-\left(10x+5\right)=1.2$$

To find the opposite of 10x+5, find the opposite of each term.

$$\frac{10}{3}x-10-10x-5=1.2$$

Combine \frac{10}{3}x and -10x to get -\frac{20}{3}x.

$$-\frac{20}{3}x-10-5=1.2$$

Subtract 5 from -10 to get -15.

$$-\frac{20}{3}x-15=1.2$$

Add 15 to both sides.

$$-\frac{20}{3}x=1.2+15$$

Add 1.2 and 15 to get 16.2.

$$-\frac{20}{3}x=16.2$$

Divide both sides by -\frac{20}{3}.

$$x=\frac{16.2}{-\frac{20}{3}}$$