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

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

Solve for x

$$x=-3745.7959191968$$

Steps for Solving Linear Equation

Calculate 1.02 to the power of 5 and get 1.1040808032.

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

Subtract 1.02 from 1 to get -0.02.

$$187345=\frac{x-1.1040808032}{-0.02}$$

Multiply both numerator and denominator by -1.

$$187345=\frac{-x+1.1040808032}{0.02}$$

Divide each term of -x+1.1040808032 by 0.02 to get \frac{-x}{0.02}+\frac{1.1040808032}{0.02}.

$$187345=\frac{-x}{0.02}+\frac{1.1040808032}{0.02}$$

Divide -x by 0.02 to get -50x.

$$187345=-50x+\frac{1.1040808032}{0.02}$$

Expand \frac{1.1040808032}{0.02} by multiplying both numerator and the denominator by 10000000000.

$$187345=-50x+\frac{11040808032}{200000000}$$

Reduce the fraction \frac{11040808032}{200000000} to lowest terms by extracting and canceling out 32.

$$187345=-50x+\frac{345025251}{6250000}$$

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

$$-50x+\frac{345025251}{6250000}=187345$$

Subtract \frac{345025251}{6250000} from both sides.

$$-50x=187345-\frac{345025251}{6250000}$$

Convert 187345 to fraction \frac{1170906250000}{6250000}.

$$-50x=\frac{1170906250000}{6250000}-\frac{345025251}{6250000}$$

Since \frac{1170906250000}{6250000} and \frac{345025251}{6250000} have the same denominator, subtract them by subtracting their numerators.

$$-50x=\frac{1170906250000-345025251}{6250000}$$

Subtract 345025251 from 1170906250000 to get 1170561224749.

$$-50x=\frac{1170561224749}{6250000}$$

Divide both sides by -50.

$$x=\frac{\frac{1170561224749}{6250000}}{-50}$$

Express \frac{\frac{1170561224749}{6250000}}{-50} as a single fraction.

$$x=\frac{1170561224749}{6250000\left(-50\right)}$$

Multiply 6250000 and -50 to get -312500000.

$$x=\frac{1170561224749}{-312500000}$$

Fraction \frac{1170561224749}{-312500000} can be rewritten as -\frac{1170561224749}{312500000} by extracting the negative sign.

$$x=-\frac{1170561224749}{312500000}$$