Solve (x)4/5-2+1/10+1

$$( x ) \frac { 4 } { 5 } - 2 + \frac { 1 } { 10 } + 1$$

Evaluate

$$\frac{4x}{5}-\frac{9}{10}$$

Solution Steps

Convert -2 to fraction -\frac{20}{10}.

$$x\times \frac{4}{5}-\frac{20}{10}+\frac{1}{10}+1$$

Since -\frac{20}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$x\times \frac{4}{5}+\frac{-20+1}{10}+1$$

Add -20 and 1 to get -19.

$$x\times \frac{4}{5}-\frac{19}{10}+1$$

Convert 1 to fraction \frac{10}{10}.

$$x\times \frac{4}{5}-\frac{19}{10}+\frac{10}{10}$$

Since -\frac{19}{10} and \frac{10}{10} have the same denominator, add them by adding their numerators.

$$x\times \frac{4}{5}+\frac{-19+10}{10}$$

Add -19 and 10 to get -9.

$$x\times \frac{4}{5}-\frac{9}{10}$$

Factor

$$\frac{8x-9}{10}$$

Solution Steps

Factor out \frac{1}{10}.

$$\frac{8x-9}{10}$$

Consider 8x-20+1+10. Multiply and combine like terms.

$$8x-9$$

Rewrite the complete factored expression.

$$\frac{8x-9}{10}$$