2k-5(k+1)=3k+1

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Solution for 2k-5(k+1)=3k+1 equation:


Simplifying
2k + -5(k + 1) = 3k + 1

Reorder the terms:
2k + -5(1 + k) = 3k + 1
2k + (1 * -5 + k * -5) = 3k + 1
2k + (-5 + -5k) = 3k + 1

Reorder the terms:
-5 + 2k + -5k = 3k + 1

Combine like terms: 2k + -5k = -3k
-5 + -3k = 3k + 1

Reorder the terms:
-5 + -3k = 1 + 3k

Solving
-5 + -3k = 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.
-5 + -3k + -3k = 1 + 3k + -3k

Combine like terms: -3k + -3k = -6k
-5 + -6k = 1 + 3k + -3k

Combine like terms: 3k + -3k = 0
-5 + -6k = 1 + 0
-5 + -6k = 1

Add '5' to each side of the equation.
-5 + 5 + -6k = 1 + 5

Combine like terms: -5 + 5 = 0
0 + -6k = 1 + 5
-6k = 1 + 5

Combine like terms: 1 + 5 = 6
-6k = 6

Divide each side by '-6'.
k = -1

Simplifying
k = -1

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