6(2k-3)+10=3(2k-5)

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Solution for 6(2k-3)+10=3(2k-5) equation: 


Simplifying
6(2k + -3) + 10 = 3(2k + -5)

Reorder the terms:
6(-3 + 2k) + 10 = 3(2k + -5)
(-3 * 6 + 2k * 6) + 10 = 3(2k + -5)
(-18 + 12k) + 10 = 3(2k + -5)

Reorder the terms:
-18 + 10 + 12k = 3(2k + -5)

Combine like terms: -18 + 10 = -8
-8 + 12k = 3(2k + -5)

Reorder the terms:
-8 + 12k = 3(-5 + 2k)
-8 + 12k = (-5 * 3 + 2k * 3)
-8 + 12k = (-15 + 6k)

Solving
-8 + 12k = -15 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
-8 + 12k + -6k = -15 + 6k + -6k

Combine like terms: 12k + -6k = 6k
-8 + 6k = -15 + 6k + -6k

Combine like terms: 6k + -6k = 0
-8 + 6k = -15 + 0
-8 + 6k = -15

Add '8' to each side of the equation.
-8 + 8 + 6k = -15 + 8

Combine like terms: -8 + 8 = 0
0 + 6k = -15 + 8
6k = -15 + 8

Combine like terms: -15 + 8 = -7
6k = -7

Divide each side by '6'.
k = -1.166666667

Simplifying
k = -1.166666667

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