7(k-3)=45-3(12-k)

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Solution for 7(k-3)=45-3(12-k) equation:


Simplifying
7(k + -3) = 45 + -3(12 + -1k)

Reorder the terms:
7(-3 + k) = 45 + -3(12 + -1k)
(-3 * 7 + k * 7) = 45 + -3(12 + -1k)
(-21 + 7k) = 45 + -3(12 + -1k)
-21 + 7k = 45 + (12 * -3 + -1k * -3)
-21 + 7k = 45 + (-36 + 3k)

Combine like terms: 45 + -36 = 9
-21 + 7k = 9 + 3k

Solving
-21 + 7k = 9 + 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.
-21 + 7k + -3k = 9 + 3k + -3k

Combine like terms: 7k + -3k = 4k
-21 + 4k = 9 + 3k + -3k

Combine like terms: 3k + -3k = 0
-21 + 4k = 9 + 0
-21 + 4k = 9

Add '21' to each side of the equation.
-21 + 21 + 4k = 9 + 21

Combine like terms: -21 + 21 = 0
0 + 4k = 9 + 21
4k = 9 + 21

Combine like terms: 9 + 21 = 30
4k = 30

Divide each side by '4'.
k = 7.5

Simplifying
k = 7.5

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