3(k+1)+11k=2(4+5k)+5

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Solution for 3(k+1)+11k=2(4+5k)+5 equation:


Simplifying
3(k + 1) + 11k = 2(4 + 5k) + 5

Reorder the terms:
3(1 + k) + 11k = 2(4 + 5k) + 5
(1 * 3 + k * 3) + 11k = 2(4 + 5k) + 5
(3 + 3k) + 11k = 2(4 + 5k) + 5

Combine like terms: 3k + 11k = 14k
3 + 14k = 2(4 + 5k) + 5
3 + 14k = (4 * 2 + 5k * 2) + 5
3 + 14k = (8 + 10k) + 5

Reorder the terms:
3 + 14k = 8 + 5 + 10k

Combine like terms: 8 + 5 = 13
3 + 14k = 13 + 10k

Solving
3 + 14k = 13 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
3 + 14k + -10k = 13 + 10k + -10k

Combine like terms: 14k + -10k = 4k
3 + 4k = 13 + 10k + -10k

Combine like terms: 10k + -10k = 0
3 + 4k = 13 + 0
3 + 4k = 13

Add '-3' to each side of the equation.
3 + -3 + 4k = 13 + -3

Combine like terms: 3 + -3 = 0
0 + 4k = 13 + -3
4k = 13 + -3

Combine like terms: 13 + -3 = 10
4k = 10

Divide each side by '4'.
k = 2.5

Simplifying
k = 2.5

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