5(k+5)-2(n-3)=62

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Solution for 5(k+5)-2(n-3)=62 equation:


Simplifying
5(k + 5) + -2(n + -3) = 62

Reorder the terms:
5(5 + k) + -2(n + -3) = 62
(5 * 5 + k * 5) + -2(n + -3) = 62
(25 + 5k) + -2(n + -3) = 62

Reorder the terms:
25 + 5k + -2(-3 + n) = 62
25 + 5k + (-3 * -2 + n * -2) = 62
25 + 5k + (6 + -2n) = 62

Reorder the terms:
25 + 6 + 5k + -2n = 62

Combine like terms: 25 + 6 = 31
31 + 5k + -2n = 62

Solving
31 + 5k + -2n = 62

Solving for variable 'k'.

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

Add '-31' to each side of the equation.
31 + 5k + -31 + -2n = 62 + -31

Reorder the terms:
31 + -31 + 5k + -2n = 62 + -31

Combine like terms: 31 + -31 = 0
0 + 5k + -2n = 62 + -31
5k + -2n = 62 + -31

Combine like terms: 62 + -31 = 31
5k + -2n = 31

Add '2n' to each side of the equation.
5k + -2n + 2n = 31 + 2n

Combine like terms: -2n + 2n = 0
5k + 0 = 31 + 2n
5k = 31 + 2n

Divide each side by '5'.
k = 6.2 + 0.4n

Simplifying
k = 6.2 + 0.4n

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