5(k+2)=8(k-1)

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Solution for 5(k+2)=8(k-1) equation:


Simplifying
5(k + 2) = 8(k + -1)

Reorder the terms:
5(2 + k) = 8(k + -1)
(2 * 5 + k * 5) = 8(k + -1)
(10 + 5k) = 8(k + -1)

Reorder the terms:
10 + 5k = 8(-1 + k)
10 + 5k = (-1 * 8 + k * 8)
10 + 5k = (-8 + 8k)

Solving
10 + 5k = -8 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
10 + 5k + -8k = -8 + 8k + -8k

Combine like terms: 5k + -8k = -3k
10 + -3k = -8 + 8k + -8k

Combine like terms: 8k + -8k = 0
10 + -3k = -8 + 0
10 + -3k = -8

Add '-10' to each side of the equation.
10 + -10 + -3k = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -3k = -8 + -10
-3k = -8 + -10

Combine like terms: -8 + -10 = -18
-3k = -18

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

Simplifying
k = 6

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