2(3k-5)=4(k-8)

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Solution for 2(3k-5)=4(k-8) equation: 


Simplifying
2(3k + -5) = 4(k + -8)

Reorder the terms:
2(-5 + 3k) = 4(k + -8)
(-5 * 2 + 3k * 2) = 4(k + -8)
(-10 + 6k) = 4(k + -8)

Reorder the terms:
-10 + 6k = 4(-8 + k)
-10 + 6k = (-8 * 4 + k * 4)
-10 + 6k = (-32 + 4k)

Solving
-10 + 6k = -32 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
-10 + 6k + -4k = -32 + 4k + -4k

Combine like terms: 6k + -4k = 2k
-10 + 2k = -32 + 4k + -4k

Combine like terms: 4k + -4k = 0
-10 + 2k = -32 + 0
-10 + 2k = -32

Add '10' to each side of the equation.
-10 + 10 + 2k = -32 + 10

Combine like terms: -10 + 10 = 0
0 + 2k = -32 + 10
2k = -32 + 10

Combine like terms: -32 + 10 = -22
2k = -22

Divide each side by '2'.
k = -11

Simplifying
k = -11

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