10(3k+1)=2(9k+11)

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Solution for 10(3k+1)=2(9k+11) equation: 


Simplifying
10(3k + 1) = 2(9k + 11)

Reorder the terms:
10(1 + 3k) = 2(9k + 11)
(1 * 10 + 3k * 10) = 2(9k + 11)
(10 + 30k) = 2(9k + 11)

Reorder the terms:
10 + 30k = 2(11 + 9k)
10 + 30k = (11 * 2 + 9k * 2)
10 + 30k = (22 + 18k)

Solving
10 + 30k = 22 + 18k

Solving for variable 'k'.

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

Add '-18k' to each side of the equation.
10 + 30k + -18k = 22 + 18k + -18k

Combine like terms: 30k + -18k = 12k
10 + 12k = 22 + 18k + -18k

Combine like terms: 18k + -18k = 0
10 + 12k = 22 + 0
10 + 12k = 22

Add '-10' to each side of the equation.
10 + -10 + 12k = 22 + -10

Combine like terms: 10 + -10 = 0
0 + 12k = 22 + -10
12k = 22 + -10

Combine like terms: 22 + -10 = 12
12k = 12

Divide each side by '12'.
k = 1

Simplifying
k = 1

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