3(k-5)-(7k-9)=-5k

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Solution for 3(k-5)-(7k-9)=-5k equation:


Simplifying
3(k + -5) + -1(7k + -9) = -5k

Reorder the terms:
3(-5 + k) + -1(7k + -9) = -5k
(-5 * 3 + k * 3) + -1(7k + -9) = -5k
(-15 + 3k) + -1(7k + -9) = -5k

Reorder the terms:
-15 + 3k + -1(-9 + 7k) = -5k
-15 + 3k + (-9 * -1 + 7k * -1) = -5k
-15 + 3k + (9 + -7k) = -5k

Reorder the terms:
-15 + 9 + 3k + -7k = -5k

Combine like terms: -15 + 9 = -6
-6 + 3k + -7k = -5k

Combine like terms: 3k + -7k = -4k
-6 + -4k = -5k

Solving
-6 + -4k = -5k

Solving for variable 'k'.

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

Add '5k' to each side of the equation.
-6 + -4k + 5k = -5k + 5k

Combine like terms: -4k + 5k = 1k
-6 + 1k = -5k + 5k

Combine like terms: -5k + 5k = 0
-6 + 1k = 0

Add '6' to each side of the equation.
-6 + 6 + 1k = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 1k = 0 + 6
1k = 0 + 6

Combine like terms: 0 + 6 = 6
1k = 6

Divide each side by '1'.
k = 6

Simplifying
k = 6

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