Solve 5000/x=1.08^10-1/0.08

$$\frac { 5000 } { x } = \frac { 1.08 ^ { 10 } - 1 } { 0.08 }$$

Solve for x

$$x = \frac{4768371582031250}{13815462556753} = 345\frac{2036999951465}{13815462556753} \approx 345.147443485$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$5000=x\times \frac{1.08^{10}-1}{0.08}$$

Calculate 1.08 to the power of 10 and get 2.15892499727278669824.

$$5000=x\times \frac{2.15892499727278669824-1}{0.08}$$

Subtract 1 from 2.15892499727278669824 to get 1.15892499727278669824.

$$5000=x\times \frac{1.15892499727278669824}{0.08}$$

Expand \frac{1.15892499727278669824}{0.08} by multiplying both numerator and the denominator by 100000000000000000000.

$$5000=x\times \frac{115892499727278669824}{8000000000000000000}$$

Reduce the fraction \frac{115892499727278669824}{8000000000000000000} to lowest terms by extracting and canceling out 2097152.

$$5000=x\times \frac{55261850227012}{3814697265625}$$

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

$$x\times \frac{55261850227012}{3814697265625}=5000$$

Multiply both sides by \frac{3814697265625}{55261850227012}, the reciprocal of \frac{55261850227012}{3814697265625}.

$$x=5000\times \frac{3814697265625}{55261850227012}$$

Express 5000\times \frac{3814697265625}{55261850227012} as a single fraction.

$$x=\frac{5000\times 3814697265625}{55261850227012}$$

Multiply 5000 and 3814697265625 to get 19073486328125000.

$$x=\frac{19073486328125000}{55261850227012}$$

Reduce the fraction \frac{19073486328125000}{55261850227012} to lowest terms by extracting and canceling out 4.

$$x=\frac{4768371582031250}{13815462556753}$$