2(k+1)=3k-41

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Solution for 2(k+1)=3k-41 equation: 


Simplifying
2(k + 1) = 3k + -41

Reorder the terms:
2(1 + k) = 3k + -41
(1 * 2 + k * 2) = 3k + -41
(2 + 2k) = 3k + -41

Reorder the terms:
2 + 2k = -41 + 3k

Solving
2 + 2k = -41 + 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.
2 + 2k + -3k = -41 + 3k + -3k

Combine like terms: 2k + -3k = -1k
2 + -1k = -41 + 3k + -3k

Combine like terms: 3k + -3k = 0
2 + -1k = -41 + 0
2 + -1k = -41

Add '-2' to each side of the equation.
2 + -2 + -1k = -41 + -2

Combine like terms: 2 + -2 = 0
0 + -1k = -41 + -2
-1k = -41 + -2

Combine like terms: -41 + -2 = -43
-1k = -43

Divide each side by '-1'.
k = 43

Simplifying
k = 43

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