Solve 15624=x(1-5^6/1-5)

$$15624=x( \frac{ 1- { 5 }^{ 6 } }{ 1-5 } )$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Calculate 5 to the power of 6 and get 15625.

$$15624=x\times \frac{1-15625}{1-5}$$

Subtract 15625 from 1 to get -15624.

$$15624=x\times \frac{-15624}{1-5}$$

Subtract 5 from 1 to get -4.

$$15624=x\times \frac{-15624}{-4}$$

Divide -15624 by -4 to get 3906.

$$15624=x\times 3906$$

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

$$x\times 3906=15624$$

Divide both sides by 3906.

$$x=\frac{15624}{3906}$$

Divide 15624 by 3906 to get 4.

$$x=4$$