Solve (22x-0.8)-(4x-0.8)(2/5)=

$$(22x-0.8)-(4x-0.8)( \frac{ 2 }{ 5 } )=$$

Evaluate

$$\frac{102x}{5}-0.48$$

Solution Steps

Use the distributive property to multiply 4x-0.8 by \frac{2}{5}.

$$22x-0.8-\left(4x\times \frac{2}{5}-0.8\times \frac{2}{5}\right)$$

Express 4\times \frac{2}{5} as a single fraction.

$$22x-0.8-\left(\frac{4\times 2}{5}x-0.8\times \frac{2}{5}\right)$$

Multiply 4 and 2 to get 8.

$$22x-0.8-\left(\frac{8}{5}x-0.8\times \frac{2}{5}\right)$$

Convert decimal number -0.8 to fraction -\frac{8}{10}. Reduce the fraction -\frac{8}{10} to lowest terms by extracting and canceling out 2.

$$22x-0.8-\left(\frac{8}{5}x-\frac{4}{5}\times \frac{2}{5}\right)$$

Multiply -\frac{4}{5} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$22x-0.8-\left(\frac{8}{5}x+\frac{-4\times 2}{5\times 5}\right)$$

Do the multiplications in the fraction \frac{-4\times 2}{5\times 5}.

$$22x-0.8-\left(\frac{8}{5}x+\frac{-8}{25}\right)$$

Fraction \frac{-8}{25} can be rewritten as -\frac{8}{25} by extracting the negative sign.

$$22x-0.8-\left(\frac{8}{5}x-\frac{8}{25}\right)$$

To find the opposite of \frac{8}{5}x-\frac{8}{25}, find the opposite of each term.

$$22x-0.8-\frac{8}{5}x-\left(-\frac{8}{25}\right)$$

The opposite of -\frac{8}{25} is \frac{8}{25}.

$$22x-0.8-\frac{8}{5}x+\frac{8}{25}$$

Combine 22x and -\frac{8}{5}x to get \frac{102}{5}x.

$$\frac{102}{5}x-0.8+\frac{8}{25}$$

Convert decimal number -0.8 to fraction -\frac{8}{10}. Reduce the fraction -\frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{102}{5}x-\frac{4}{5}+\frac{8}{25}$$

Least common multiple of 5 and 25 is 25. Convert -\frac{4}{5} and \frac{8}{25} to fractions with denominator 25.

$$\frac{102}{5}x-\frac{20}{25}+\frac{8}{25}$$

Since -\frac{20}{25} and \frac{8}{25} have the same denominator, add them by adding their numerators.

$$\frac{102}{5}x+\frac{-20+8}{25}$$

Add -20 and 8 to get -12.

$$\frac{102}{5}x-\frac{12}{25}$$

Expand

$$\frac{102x}{5}-0.48$$

Solution Steps

Use the distributive property to multiply 4x-0.8 by \frac{2}{5}.

$$22x-0.8-\left(4x\times \frac{2}{5}-0.8\times \frac{2}{5}\right)$$

Express 4\times \frac{2}{5} as a single fraction.

$$22x-0.8-\left(\frac{4\times 2}{5}x-0.8\times \frac{2}{5}\right)$$

Multiply 4 and 2 to get 8.

$$22x-0.8-\left(\frac{8}{5}x-0.8\times \frac{2}{5}\right)$$

Convert decimal number -0.8 to fraction -\frac{8}{10}. Reduce the fraction -\frac{8}{10} to lowest terms by extracting and canceling out 2.

$$22x-0.8-\left(\frac{8}{5}x-\frac{4}{5}\times \frac{2}{5}\right)$$

Multiply -\frac{4}{5} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$22x-0.8-\left(\frac{8}{5}x+\frac{-4\times 2}{5\times 5}\right)$$

Do the multiplications in the fraction \frac{-4\times 2}{5\times 5}.

$$22x-0.8-\left(\frac{8}{5}x+\frac{-8}{25}\right)$$

Fraction \frac{-8}{25} can be rewritten as -\frac{8}{25} by extracting the negative sign.

$$22x-0.8-\left(\frac{8}{5}x-\frac{8}{25}\right)$$

To find the opposite of \frac{8}{5}x-\frac{8}{25}, find the opposite of each term.

$$22x-0.8-\frac{8}{5}x-\left(-\frac{8}{25}\right)$$

The opposite of -\frac{8}{25} is \frac{8}{25}.

$$22x-0.8-\frac{8}{5}x+\frac{8}{25}$$

Combine 22x and -\frac{8}{5}x to get \frac{102}{5}x.

$$\frac{102}{5}x-0.8+\frac{8}{25}$$

Convert decimal number -0.8 to fraction -\frac{8}{10}. Reduce the fraction -\frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{102}{5}x-\frac{4}{5}+\frac{8}{25}$$

Least common multiple of 5 and 25 is 25. Convert -\frac{4}{5} and \frac{8}{25} to fractions with denominator 25.

$$\frac{102}{5}x-\frac{20}{25}+\frac{8}{25}$$

Since -\frac{20}{25} and \frac{8}{25} have the same denominator, add them by adding their numerators.

$$\frac{102}{5}x+\frac{-20+8}{25}$$

Add -20 and 8 to get -12.

$$\frac{102}{5}x-\frac{12}{25}$$