3(2k-6)-7=4(3-2k)+5

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Solution for 3(2k-6)-7=4(3-2k)+5 equation: 


Simplifying
3(2k + -6) + -7 = 4(3 + -2k) + 5

Reorder the terms:
3(-6 + 2k) + -7 = 4(3 + -2k) + 5
(-6 * 3 + 2k * 3) + -7 = 4(3 + -2k) + 5
(-18 + 6k) + -7 = 4(3 + -2k) + 5

Reorder the terms:
-18 + -7 + 6k = 4(3 + -2k) + 5

Combine like terms: -18 + -7 = -25
-25 + 6k = 4(3 + -2k) + 5
-25 + 6k = (3 * 4 + -2k * 4) + 5
-25 + 6k = (12 + -8k) + 5

Reorder the terms:
-25 + 6k = 12 + 5 + -8k

Combine like terms: 12 + 5 = 17
-25 + 6k = 17 + -8k

Solving
-25 + 6k = 17 + -8k

Solving for variable 'k'.

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

Add '8k' to each side of the equation.
-25 + 6k + 8k = 17 + -8k + 8k

Combine like terms: 6k + 8k = 14k
-25 + 14k = 17 + -8k + 8k

Combine like terms: -8k + 8k = 0
-25 + 14k = 17 + 0
-25 + 14k = 17

Add '25' to each side of the equation.
-25 + 25 + 14k = 17 + 25

Combine like terms: -25 + 25 = 0
0 + 14k = 17 + 25
14k = 17 + 25

Combine like terms: 17 + 25 = 42
14k = 42

Divide each side by '14'.
k = 3

Simplifying
k = 3

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