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 = -15
-15 + 2k + 3k = 8

Combine like terms: 2k + 3k = 5k
-15 + 5k = 8

Solving
-15 + 5k = 8

Solving for variable 'k'.

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

Add '15' to each side of the equation.
-15 + 15 + 5k = 8 + 15

Combine like terms: -15 + 15 = 0
0 + 5k = 8 + 15
5k = 8 + 15

Combine like terms: 8 + 15 = 23
5k = 23

Divide each side by '5'.
k = 4.6

Simplifying
k = 4.6

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