8(3k-5)=12(3k-1)-51

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Solution for 8(3k-5)=12(3k-1)-51 equation: 


Simplifying
8(3k + -5) = 12(3k + -1) + -51

Reorder the terms:
8(-5 + 3k) = 12(3k + -1) + -51
(-5 * 8 + 3k * 8) = 12(3k + -1) + -51
(-40 + 24k) = 12(3k + -1) + -51

Reorder the terms:
-40 + 24k = 12(-1 + 3k) + -51
-40 + 24k = (-1 * 12 + 3k * 12) + -51
-40 + 24k = (-12 + 36k) + -51

Reorder the terms:
-40 + 24k = -12 + -51 + 36k

Combine like terms: -12 + -51 = -63
-40 + 24k = -63 + 36k

Solving
-40 + 24k = -63 + 36k

Solving for variable 'k'.

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

Add '-36k' to each side of the equation.
-40 + 24k + -36k = -63 + 36k + -36k

Combine like terms: 24k + -36k = -12k
-40 + -12k = -63 + 36k + -36k

Combine like terms: 36k + -36k = 0
-40 + -12k = -63 + 0
-40 + -12k = -63

Add '40' to each side of the equation.
-40 + 40 + -12k = -63 + 40

Combine like terms: -40 + 40 = 0
0 + -12k = -63 + 40
-12k = -63 + 40

Combine like terms: -63 + 40 = -23
-12k = -23

Divide each side by '-12'.
k = 1.916666667

Simplifying
k = 1.916666667

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