3k-9(k+7)=2(2k-56)

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Solution for 3k-9(k+7)=2(2k-56) equation:


Simplifying
3k + -9(k + 7) = 2(2k + -56)

Reorder the terms:
3k + -9(7 + k) = 2(2k + -56)
3k + (7 * -9 + k * -9) = 2(2k + -56)
3k + (-63 + -9k) = 2(2k + -56)

Reorder the terms:
-63 + 3k + -9k = 2(2k + -56)

Combine like terms: 3k + -9k = -6k
-63 + -6k = 2(2k + -56)

Reorder the terms:
-63 + -6k = 2(-56 + 2k)
-63 + -6k = (-56 * 2 + 2k * 2)
-63 + -6k = (-112 + 4k)

Solving
-63 + -6k = -112 + 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.
-63 + -6k + -4k = -112 + 4k + -4k

Combine like terms: -6k + -4k = -10k
-63 + -10k = -112 + 4k + -4k

Combine like terms: 4k + -4k = 0
-63 + -10k = -112 + 0
-63 + -10k = -112

Add '63' to each side of the equation.
-63 + 63 + -10k = -112 + 63

Combine like terms: -63 + 63 = 0
0 + -10k = -112 + 63
-10k = -112 + 63

Combine like terms: -112 + 63 = -49
-10k = -49

Divide each side by '-10'.
k = 4.9

Simplifying
k = 4.9

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