Solve 789*x=15x-left(53^2right)^5

$$789 \times x=15x- { \left( { 53 }^{ 2 } \right) }^{ 5 }$$

Solve for x

$$x=-\frac{174887470365513049}{774}\approx -2.259528041 \cdot 10^{14}$$

Steps for Solving Linear Equation

To raise a power to another power, multiply the exponents. Multiply 2 and 5 to get 10.

$$789x=15x-53^{10}$$

Calculate 53 to the power of 10 and get 174887470365513049.

$$789x=15x-174887470365513049$$

Subtract 15x from both sides.

$$789x-15x=-174887470365513049$$

Combine 789x and -15x to get 774x.

$$774x=-174887470365513049$$

Divide both sides by 774.

$$x=\frac{-174887470365513049}{774}$$

Fraction \frac{-174887470365513049}{774} can be rewritten as -\frac{174887470365513049}{774} by extracting the negative sign.

$$x=-\frac{174887470365513049}{774}$$