Solve 0.1x+0.2(400-x)/400=0.13

$$\frac{ 0.1x+0.2(400-x) }{ 400 } =0.13$$

Solve for x

$$x=280$$

Steps for Solving Linear Equation

Multiply both sides by 400.

$$0.1x+0.2\left(400-x\right)=0.13\times 400$$

Use the distributive property to multiply 0.2 by 400-x.

$$0.1x+80-0.2x=0.13\times 400$$

Combine 0.1x and -0.2x to get -0.1x.

$$-0.1x+80=0.13\times 400$$

Multiply 0.13 and 400 to get 52.

$$-0.1x+80=52$$

Subtract 80 from both sides.

$$-0.1x=52-80$$

Subtract 80 from 52 to get -28.

$$-0.1x=-28$$

Divide both sides by -0.1.

$$x=\frac{-28}{-0.1}$$

Expand \frac{-28}{-0.1} by multiplying both numerator and the denominator by 10.

$$x=\frac{-280}{-1}$$

Fraction \frac{-280}{-1} can be simplified to 280 by removing the negative sign from both the numerator and the denominator.

$$x=280$$