Solve 0.9=x(0.974)+left(1-xright)0.96

$$0.9 = x(0.974)+ \left( 1-x \right) 0.96$$

Solve for x

$$x = -\frac{30}{7} = -4\frac{2}{7} \approx -4.285714286$$

Steps for Solving Linear Equation

Use the distributive property to multiply 1-x by 0.96.

$$0.9=x\times 0.974+0.96-0.96x$$

Combine x\times 0.974 and -0.96x to get 0.014x.

$$0.9=0.014x+0.96$$

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

$$0.014x+0.96=0.9$$

Subtract 0.96 from both sides.

$$0.014x=0.9-0.96$$

Subtract 0.96 from 0.9 to get -0.06.

$$0.014x=-0.06$$

Divide both sides by 0.014.

$$x=\frac{-0.06}{0.014}$$

Expand \frac{-0.06}{0.014} by multiplying both numerator and the denominator by 1000.

$$x=\frac{-60}{14}$$

Reduce the fraction \frac{-60}{14} to lowest terms by extracting and canceling out 2.

$$x=-\frac{30}{7}$$