3(k+7)=6(k+1)-3

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Solution for 3(k+7)=6(k+1)-3 equation:


Simplifying
3(k + 7) = 6(k + 1) + -3

Reorder the terms:
3(7 + k) = 6(k + 1) + -3
(7 * 3 + k * 3) = 6(k + 1) + -3
(21 + 3k) = 6(k + 1) + -3

Reorder the terms:
21 + 3k = 6(1 + k) + -3
21 + 3k = (1 * 6 + k * 6) + -3
21 + 3k = (6 + 6k) + -3

Reorder the terms:
21 + 3k = 6 + -3 + 6k

Combine like terms: 6 + -3 = 3
21 + 3k = 3 + 6k

Solving
21 + 3k = 3 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
21 + 3k + -6k = 3 + 6k + -6k

Combine like terms: 3k + -6k = -3k
21 + -3k = 3 + 6k + -6k

Combine like terms: 6k + -6k = 0
21 + -3k = 3 + 0
21 + -3k = 3

Add '-21' to each side of the equation.
21 + -21 + -3k = 3 + -21

Combine like terms: 21 + -21 = 0
0 + -3k = 3 + -21
-3k = 3 + -21

Combine like terms: 3 + -21 = -18
-3k = -18

Divide each side by '-3'.
k = 6

Simplifying
k = 6

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