2(k+5)-(-3k+5)=8

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Solution for 2(k+5)-(-3k+5)=8 equation:


Simplifying
2(k + 5) + -1(-3k + 5) = 8

Reorder the terms:
2(5 + k) + -1(-3k + 5) = 8
(5 * 2 + k * 2) + -1(-3k + 5) = 8
(10 + 2k) + -1(-3k + 5) = 8

Reorder the terms:
10 + 2k + -1(5 + -3k) = 8
10 + 2k + (5 * -1 + -3k * -1) = 8
10 + 2k + (-5 + 3k) = 8

Reorder the terms:
10 + -5 + 2k + 3k = 8

Combine like terms: 10 + -5 = 5
5 + 2k + 3k = 8

Combine like terms: 2k + 3k = 5k
5 + 5k = 8

Solving
5 + 5k = 8

Solving for variable 'k'.

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

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

Combine like terms: 5 + -5 = 0
0 + 5k = 8 + -5
5k = 8 + -5

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

Divide each side by '5'.
k = 0.6

Simplifying
k = 0.6

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