Solve x=1+0.975/1+0.975-2*0.975*0.995

$$x = \frac { 1 + 0.975 } { 1 + 0.975 - 2 \times 0.975 \times 0.995 }$$

Solve for x

$$x = \frac{7900}{139} = 56\frac{116}{139} \approx 56.834532374$$

Steps for Solving Linear Equation

Add 1 and 0.975 to get 1.975.

$$x=\frac{1.975}{1+0.975-2\times 0.975\times 0.995}$$

Add 1 and 0.975 to get 1.975.

$$x=\frac{1.975}{1.975-2\times 0.975\times 0.995}$$

Multiply 2 and 0.975 to get 1.95.

$$x=\frac{1.975}{1.975-1.95\times 0.995}$$

Multiply 1.95 and 0.995 to get 1.94025.

$$x=\frac{1.975}{1.975-1.94025}$$

Subtract 1.94025 from 1.975 to get 0.03475.

$$x=\frac{1.975}{0.03475}$$

Expand \frac{1.975}{0.03475} by multiplying both numerator and the denominator by 100000.

$$x=\frac{197500}{3475}$$

Reduce the fraction \frac{197500}{3475} to lowest terms by extracting and canceling out 25.

$$x=\frac{7900}{139}$$

Assign x

$$x≔\frac{7900}{139}$$