Solve (1+11.3%)^5=1+1963/x

$$( 1 + 11.3 \% ) ^ { 5 } = 1 + \frac { 1963 } { x }$$

Solve for x

$$x = \frac{1963000000000000000}{707952631156793} = 2772\frac{555306433369804}{707952631156793} \approx 2772.7843836$$

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.

$$x\left(1+\frac{11.3}{100}\right)^{5}=x+1963$$

Expand \frac{11.3}{100} by multiplying both numerator and the denominator by 10.

$$x\left(1+\frac{113}{1000}\right)^{5}=x+1963$$

Add 1 and \frac{113}{1000} to get \frac{1113}{1000}.

$$x\times \left(\frac{1113}{1000}\right)^{5}=x+1963$$

Calculate \frac{1113}{1000} to the power of 5 and get \frac{1707952631156793}{1000000000000000}.

$$x\times \frac{1707952631156793}{1000000000000000}=x+1963$$

Subtract x from both sides.

$$x\times \frac{1707952631156793}{1000000000000000}-x=1963$$

Combine x\times \frac{1707952631156793}{1000000000000000} and -x to get \frac{707952631156793}{1000000000000000}x.

$$\frac{707952631156793}{1000000000000000}x=1963$$

Multiply both sides by \frac{1000000000000000}{707952631156793}, the reciprocal of \frac{707952631156793}{1000000000000000}.

$$x=1963\times \frac{1000000000000000}{707952631156793}$$

Multiply 1963 and \frac{1000000000000000}{707952631156793} to get \frac{1963000000000000000}{707952631156793}.

$$x=\frac{1963000000000000000}{707952631156793}$$