3(2k-5)-1=4-1(3k+7)

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Solution for 3(2k-5)-1=4-1(3k+7) equation: 


Simplifying
3(2k + -5) + -1 = 4 + -1(3k + 7)

Reorder the terms:
3(-5 + 2k) + -1 = 4 + -1(3k + 7)
(-5 * 3 + 2k * 3) + -1 = 4 + -1(3k + 7)
(-15 + 6k) + -1 = 4 + -1(3k + 7)

Reorder the terms:
-15 + -1 + 6k = 4 + -1(3k + 7)

Combine like terms: -15 + -1 = -16
-16 + 6k = 4 + -1(3k + 7)

Reorder the terms:
-16 + 6k = 4 + -1(7 + 3k)
-16 + 6k = 4 + (7 * -1 + 3k * -1)
-16 + 6k = 4 + (-7 + -3k)

Combine like terms: 4 + -7 = -3
-16 + 6k = -3 + -3k

Solving
-16 + 6k = -3 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
-16 + 6k + 3k = -3 + -3k + 3k

Combine like terms: 6k + 3k = 9k
-16 + 9k = -3 + -3k + 3k

Combine like terms: -3k + 3k = 0
-16 + 9k = -3 + 0
-16 + 9k = -3

Add '16' to each side of the equation.
-16 + 16 + 9k = -3 + 16

Combine like terms: -16 + 16 = 0
0 + 9k = -3 + 16
9k = -3 + 16

Combine like terms: -3 + 16 = 13
9k = 13

Divide each side by '9'.
k = 1.444444444

Simplifying
k = 1.444444444

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