How to solve 7^3x+4=49^2x+1

Raise 49 to the power of 2 to get 2401.

7^3 x+4=2401x+1

Raise 7 to the power of 3 to get 343.

343x+4=2401x+1

Since 2401x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 2401x from both sides.

343x+4-2401x=1

Add 343x and - 2401x to get - 2058x.

-2058x+4=1

Since 4 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 4 from both sides.

-2058x=-4+1

Add - 4 and 1 to get - 3.

-2058x=-3

Divide each term in the equation by - 2058.

x = 1/686