8(k-5)=2k+10

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Solution for 8(k-5)=2k+10 equation:


Simplifying
8(k + -5) = 2k + 10

Reorder the terms:
8(-5 + k) = 2k + 10
(-5 * 8 + k * 8) = 2k + 10
(-40 + 8k) = 2k + 10

Reorder the terms:
-40 + 8k = 10 + 2k

Solving
-40 + 8k = 10 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
-40 + 8k + -2k = 10 + 2k + -2k

Combine like terms: 8k + -2k = 6k
-40 + 6k = 10 + 2k + -2k

Combine like terms: 2k + -2k = 0
-40 + 6k = 10 + 0
-40 + 6k = 10

Add '40' to each side of the equation.
-40 + 40 + 6k = 10 + 40

Combine like terms: -40 + 40 = 0
0 + 6k = 10 + 40
6k = 10 + 40

Combine like terms: 10 + 40 = 50
6k = 50

Divide each side by '6'.
k = 8.333333333

Simplifying
k = 8.333333333

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