Solve 187345=x(1-1.02^5/1-1.02)

$$187345=x( \frac{ 1- { 1.02 }^{ 5 } }{ 1-1.02 } )$$

Solve for x

$$x = \frac{1170906250000}{32525251} = 35999\frac{29739251}{32525251} \approx 35999.914343474$$

Steps for Solving Linear Equation

Calculate 1.02 to the power of 5 and get 1.1040808032.

$$187345=x\times \frac{1-1.1040808032}{1-1.02}$$

Subtract 1.1040808032 from 1 to get -0.1040808032.

$$187345=x\times \frac{-0.1040808032}{1-1.02}$$

Subtract 1.02 from 1 to get -0.02.

$$187345=x\times \frac{-0.1040808032}{-0.02}$$

Expand \frac{-0.1040808032}{-0.02} by multiplying both numerator and the denominator by 10000000000.

$$187345=x\times \frac{-1040808032}{-200000000}$$

Reduce the fraction \frac{-1040808032}{-200000000} to lowest terms by extracting and canceling out -32.

$$187345=x\times \frac{32525251}{6250000}$$

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

$$x\times \frac{32525251}{6250000}=187345$$

Multiply both sides by \frac{6250000}{32525251}, the reciprocal of \frac{32525251}{6250000}.

$$x=187345\times \frac{6250000}{32525251}$$

Express 187345\times \frac{6250000}{32525251} as a single fraction.

$$x=\frac{187345\times 6250000}{32525251}$$

Multiply 187345 and 6250000 to get 1170906250000.

$$x=\frac{1170906250000}{32525251}$$