Solve 28.8x+37.8(200-x)=6280

$$28.8x+37.8(200-x)=6280$$

Solve for x

$$x = \frac{1280}{9} = 142\frac{2}{9} \approx 142.222222222$$

Steps for Solving Linear Equation

Use the distributive property to multiply 37.8 by 200-x.

$$28.8x+7560-37.8x=6280$$

Combine 28.8x and -37.8x to get -9x.

$$-9x+7560=6280$$

Subtract 7560 from both sides.

$$-9x=6280-7560$$

Subtract 7560 from 6280 to get -1280.

$$-9x=-1280$$

Divide both sides by -9.

$$x=\frac{-1280}{-9}$$

Fraction \frac{-1280}{-9} can be simplified to \frac{1280}{9} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1280}{9}$$