Solve (240-2/5*20)(60+x-40)=6400

$$( 240 - \frac { 2 } { 5 } \times 20 ) ( 60 + x - 40 ) = 6400$$

Solve for x

$$x = \frac{220}{29} = 7\frac{17}{29} \approx 7.586206897$$

Steps for Solving Linear Equation

Express \frac{2}{5}\times 20 as a single fraction.

$$\left(240-\frac{2\times 20}{5}\right)\left(60+x-40\right)=6400$$

Multiply 2 and 20 to get 40.

$$\left(240-\frac{40}{5}\right)\left(60+x-40\right)=6400$$

Divide 40 by 5 to get 8.

$$\left(240-8\right)\left(60+x-40\right)=6400$$

Subtract 8 from 240 to get 232.

$$232\left(60+x-40\right)=6400$$

Subtract 40 from 60 to get 20.

$$232\left(20+x\right)=6400$$

Use the distributive property to multiply 232 by 20+x.

$$4640+232x=6400$$

Subtract 4640 from both sides.

$$232x=6400-4640$$

Subtract 4640 from 6400 to get 1760.

$$232x=1760$$

Divide both sides by 232.

$$x=\frac{1760}{232}$$

Reduce the fraction \frac{1760}{232} to lowest terms by extracting and canceling out 8.

$$x=\frac{220}{29}$$