Solve 1.5x/0.3-1.5-x/0.1=1.5

$$\frac { 1.5 x } { 0.3 } - \frac { 1.5 - x } { 0.1 } = 1.5$$

Solve for x

$$x=1.1$$

Steps for Solving Linear Equation

Divide 1.5x by 0.3 to get 5x.

$$5x-\frac{1.5-x}{0.1}=1.5$$

Divide each term of 1.5-x by 0.1 to get \frac{1.5}{0.1}+\frac{-x}{0.1}.

$$5x-\left(\frac{1.5}{0.1}+\frac{-x}{0.1}\right)=1.5$$

Expand \frac{1.5}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$5x-\left(15+\frac{-x}{0.1}\right)=1.5$$

Divide -x by 0.1 to get -10x.

$$5x-\left(15-10x\right)=1.5$$

To find the opposite of 15-10x, find the opposite of each term.

$$5x-15-\left(-10x\right)=1.5$$

The opposite of -10x is 10x.

$$5x-15+10x=1.5$$

Combine 5x and 10x to get 15x.

$$15x-15=1.5$$

Add 15 to both sides.

$$15x=1.5+15$$

Add 1.5 and 15 to get 16.5.

$$15x=16.5$$

Divide both sides by 15.

$$x=\frac{16.5}{15}$$

Expand \frac{16.5}{15} by multiplying both numerator and the denominator by 10.

$$x=\frac{165}{150}$$

Reduce the fraction \frac{165}{150} to lowest terms by extracting and canceling out 15.

$$x=\frac{11}{10}$$