k+1=3k-1

Solution for k+1=3k-1 equation:

Simplifying
k + 1 = 3k + -1

Reorder the terms:
1 + k = 3k + -1

Reorder the terms:
1 + k = -1 + 3k

Solving
1 + k = -1 + 3k

Solving for variable 'k'.

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

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

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

Combine like terms: 3k + -3k = 0
1 + -2k = -1 + 0
1 + -2k = -1

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

Combine like terms: 1 + -1 = 0
0 + -2k = -1 + -1
-2k = -1 + -1

Combine like terms: -1 + -1 = -2
-2k = -2

Divide each side by '-2'.
k = 1

Simplifying
k = 1