Solve 3x+4(-9/5-1/5x)

$$3 x + 4 ( - 9 / 5 - 1 / 5 x )$$

Evaluate

$$\frac{11x-36}{5}$$

Solution Steps

Use the distributive property to multiply 4 by -\frac{9}{5}-\frac{1}{5}x.

$$3x+4\left(-\frac{9}{5}\right)+4\left(-\frac{1}{5}\right)x$$

Express 4\left(-\frac{9}{5}\right) as a single fraction.

$$3x+\frac{4\left(-9\right)}{5}+4\left(-\frac{1}{5}\right)x$$

Multiply 4 and -9 to get -36.

$$3x+\frac{-36}{5}+4\left(-\frac{1}{5}\right)x$$

Fraction \frac{-36}{5} can be rewritten as -\frac{36}{5} by extracting the negative sign.

$$3x-\frac{36}{5}+4\left(-\frac{1}{5}\right)x$$

Express 4\left(-\frac{1}{5}\right) as a single fraction.

$$3x-\frac{36}{5}+\frac{4\left(-1\right)}{5}x$$

Multiply 4 and -1 to get -4.

$$3x-\frac{36}{5}+\frac{-4}{5}x$$

Fraction \frac{-4}{5} can be rewritten as -\frac{4}{5} by extracting the negative sign.

$$3x-\frac{36}{5}-\frac{4}{5}x$$

Combine 3x and -\frac{4}{5}x to get \frac{11}{5}x.

$$\frac{11}{5}x-\frac{36}{5}$$

Expand

$$\frac{11x-36}{5}$$

Solution Steps

Use the distributive property to multiply 4 by -\frac{9}{5}-\frac{1}{5}x.

$$3x+4\left(-\frac{9}{5}\right)+4\left(-\frac{1}{5}\right)x$$

Express 4\left(-\frac{9}{5}\right) as a single fraction.

$$3x+\frac{4\left(-9\right)}{5}+4\left(-\frac{1}{5}\right)x$$

Multiply 4 and -9 to get -36.

$$3x+\frac{-36}{5}+4\left(-\frac{1}{5}\right)x$$

Fraction \frac{-36}{5} can be rewritten as -\frac{36}{5} by extracting the negative sign.

$$3x-\frac{36}{5}+4\left(-\frac{1}{5}\right)x$$

Express 4\left(-\frac{1}{5}\right) as a single fraction.

$$3x-\frac{36}{5}+\frac{4\left(-1\right)}{5}x$$

Multiply 4 and -1 to get -4.

$$3x-\frac{36}{5}+\frac{-4}{5}x$$

Fraction \frac{-4}{5} can be rewritten as -\frac{4}{5} by extracting the negative sign.

$$3x-\frac{36}{5}-\frac{4}{5}x$$

Combine 3x and -\frac{4}{5}x to get \frac{11}{5}x.

$$\frac{11}{5}x-\frac{36}{5}$$