Solve 1067.8=x*875+left(1-xright)*1083

$$1067.8 = x \times 875+ \left( 1-x \right) \times 1083$$

Solve for x

$$x=\frac{19}{260}\approx 0.073076923$$

Steps for Solving Linear Equation

Use the distributive property to multiply 1-x by 1083.

$$1067.8=x\times 875+1083-1083x$$

Combine x\times 875 and -1083x to get -208x.

$$1067.8=-208x+1083$$

Swap sides so that all variable terms are on the left hand side.

$$-208x+1083=1067.8$$

Subtract 1083 from both sides.

$$-208x=1067.8-1083$$

Subtract 1083 from 1067.8 to get -15.2.

$$-208x=-15.2$$

Divide both sides by -208.

$$x=\frac{-15.2}{-208}$$

Expand \frac{-15.2}{-208} by multiplying both numerator and the denominator by 10.

$$x=\frac{-152}{-2080}$$

Reduce the fraction \frac{-152}{-2080} to lowest terms by extracting and canceling out -8.

$$x=\frac{19}{260}$$