k+2k=3(2k-3)-2(k-1)

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


Simplifying
k + 2k = 3(2k + -3) + -2(k + -1)

Combine like terms: k + 2k = 3k
3k = 3(2k + -3) + -2(k + -1)

Reorder the terms:
3k = 3(-3 + 2k) + -2(k + -1)
3k = (-3 * 3 + 2k * 3) + -2(k + -1)
3k = (-9 + 6k) + -2(k + -1)

Reorder the terms:
3k = -9 + 6k + -2(-1 + k)
3k = -9 + 6k + (-1 * -2 + k * -2)
3k = -9 + 6k + (2 + -2k)

Reorder the terms:
3k = -9 + 2 + 6k + -2k

Combine like terms: -9 + 2 = -7
3k = -7 + 6k + -2k

Combine like terms: 6k + -2k = 4k
3k = -7 + 4k

Solving
3k = -7 + 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.
3k + -4k = -7 + 4k + -4k

Combine like terms: 3k + -4k = -1k
-1k = -7 + 4k + -4k

Combine like terms: 4k + -4k = 0
-1k = -7 + 0
-1k = -7

Divide each side by '-1'.
k = 7

Simplifying
k = 7

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