2sec(x)+1=sec(x)+3

Solution for 2sec(x)+1=sec(x)+3 equation:

Simplifying
2sec(x) + 1 = sec(x) + 3

Multiply ces * x
2cesx + 1 = sec(x) + 3

Reorder the terms:
1 + 2cesx = sec(x) + 3

Multiply ces * x
1 + 2cesx = cesx + 3

Reorder the terms:
1 + 2cesx = 3 + cesx

Solving
1 + 2cesx = 3 + cesx

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-1cesx' to each side of the equation.
1 + 2cesx + -1cesx = 3 + cesx + -1cesx

Combine like terms: 2cesx + -1cesx = 1cesx
1 + 1cesx = 3 + cesx + -1cesx

Combine like terms: cesx + -1cesx = 0
1 + 1cesx = 3 + 0
1 + 1cesx = 3

Add '-1' to each side of the equation.
1 + -1 + 1cesx = 3 + -1

Combine like terms: 1 + -1 = 0
0 + 1cesx = 3 + -1
1cesx = 3 + -1

Combine like terms: 3 + -1 = 2
1cesx = 2

Divide each side by '1esx'.
c = 2e-1s-1x-1

Simplifying
c = 2e-1s-1x-1