Solve 2x+4/5left(109-3xright)

$$2x+ \frac{ 4 }{ 5 } \left( 109-3x \right)$$

Evaluate

$$\frac{436-2x}{5}$$

Solution Steps

Use the distributive property to multiply \frac{4}{5} by 109-3x.

$$2x+\frac{4}{5}\times 109+\frac{4}{5}\left(-3\right)x$$

Express \frac{4}{5}\times 109 as a single fraction.

$$2x+\frac{4\times 109}{5}+\frac{4}{5}\left(-3\right)x$$

Multiply 4 and 109 to get 436.

$$2x+\frac{436}{5}+\frac{4}{5}\left(-3\right)x$$

Express \frac{4}{5}\left(-3\right) as a single fraction.

$$2x+\frac{436}{5}+\frac{4\left(-3\right)}{5}x$$

Multiply 4 and -3 to get -12.

$$2x+\frac{436}{5}+\frac{-12}{5}x$$

Fraction \frac{-12}{5} can be rewritten as -\frac{12}{5} by extracting the negative sign.

$$2x+\frac{436}{5}-\frac{12}{5}x$$

Combine 2x and -\frac{12}{5}x to get -\frac{2}{5}x.

$$-\frac{2}{5}x+\frac{436}{5}$$

Expand

$$\frac{436-2x}{5}$$

Solution Steps

Use the distributive property to multiply \frac{4}{5} by 109-3x.

$$2x+\frac{4}{5}\times 109+\frac{4}{5}\left(-3\right)x$$

Express \frac{4}{5}\times 109 as a single fraction.

$$2x+\frac{4\times 109}{5}+\frac{4}{5}\left(-3\right)x$$

Multiply 4 and 109 to get 436.

$$2x+\frac{436}{5}+\frac{4}{5}\left(-3\right)x$$

Express \frac{4}{5}\left(-3\right) as a single fraction.

$$2x+\frac{436}{5}+\frac{4\left(-3\right)}{5}x$$

Multiply 4 and -3 to get -12.

$$2x+\frac{436}{5}+\frac{-12}{5}x$$

Fraction \frac{-12}{5} can be rewritten as -\frac{12}{5} by extracting the negative sign.

$$2x+\frac{436}{5}-\frac{12}{5}x$$

Combine 2x and -\frac{12}{5}x to get -\frac{2}{5}x.

$$-\frac{2}{5}x+\frac{436}{5}$$