Solve 10x*(1.1^10-1)=162890

$$10 x \cdot ( 1.1 ^ { 10 } - 1 ) = 162890$$

Solve for x

$$x = \frac{23270000000000}{2276774943} = 10220\frac{1360082540}{2276774943} \approx 10220.597372412$$

Steps for Solving Linear Equation

Calculate 1.1 to the power of 10 and get 2.5937424601.

$$10x\left(2.5937424601-1\right)=162890$$

Subtract 1 from 2.5937424601 to get 1.5937424601.

$$10x\times 1.5937424601=162890$$

Multiply 10 and 1.5937424601 to get 15.937424601.

$$15.937424601x=162890$$

Divide both sides by 15.937424601.

$$x=\frac{162890}{15.937424601}$$

Expand \frac{162890}{15.937424601} by multiplying both numerator and the denominator by 1000000000.

$$x=\frac{162890000000000}{15937424601}$$

Reduce the fraction \frac{162890000000000}{15937424601} to lowest terms by extracting and canceling out 7.

$$x=\frac{23270000000000}{2276774943}$$