Solve 16x-2=10x+2/5

$$16 x - 2 = 10 x + \frac { 2 } { 5 }$$

Solve for x

$$x=\frac{2}{5}=0.4$$

Steps for Solving Linear Equation

Subtract 10x from both sides.

$$16x-2-10x=\frac{2}{5}$$

Combine 16x and -10x to get 6x.

$$6x-2=\frac{2}{5}$$

Add 2 to both sides.

$$6x=\frac{2}{5}+2$$

Convert 2 to fraction \frac{10}{5}.

$$6x=\frac{2}{5}+\frac{10}{5}$$

Since \frac{2}{5} and \frac{10}{5} have the same denominator, add them by adding their numerators.

$$6x=\frac{2+10}{5}$$

Add 2 and 10 to get 12.

$$6x=\frac{12}{5}$$

Divide both sides by 6.

$$x=\frac{\frac{12}{5}}{6}$$

Express \frac{\frac{12}{5}}{6} as a single fraction.

$$x=\frac{12}{5\times 6}$$

Multiply 5 and 6 to get 30.

$$x=\frac{12}{30}$$

Reduce the fraction \frac{12}{30} to lowest terms by extracting and canceling out 6.

$$x=\frac{2}{5}$$