Solve 1067.8=x*875+left(1-xright)*1083.7

$$1067.8 = x \times 875+ \left( 1-x \right) \times 1083.7$$

Solve for x

$$x=\frac{159}{2087}\approx 0.076185913$$

Steps for Solving Linear Equation

Use the distributive property to multiply 1-x by 1083.7.

$$1067.8=x\times 875+1083.7-1083.7x$$

Combine x\times 875 and -1083.7x to get -208.7x.

$$1067.8=-208.7x+1083.7$$

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

$$-208.7x+1083.7=1067.8$$

Subtract 1083.7 from both sides.

$$-208.7x=1067.8-1083.7$$

Subtract 1083.7 from 1067.8 to get -15.9.

$$-208.7x=-15.9$$

Divide both sides by -208.7.

$$x=\frac{-15.9}{-208.7}$$

Expand \frac{-15.9}{-208.7} by multiplying both numerator and the denominator by 10.

$$x=\frac{-159}{-2087}$$

Fraction \frac{-159}{-2087} can be simplified to \frac{159}{2087} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{159}{2087}$$