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

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


Simplifying
(2k + -7) + -1(3k + 5) = 5(k + -3)

Reorder the terms:
(-7 + 2k) + -1(3k + 5) = 5(k + -3)

Remove parenthesis around (-7 + 2k)
-7 + 2k + -1(3k + 5) = 5(k + -3)

Reorder the terms:
-7 + 2k + -1(5 + 3k) = 5(k + -3)
-7 + 2k + (5 * -1 + 3k * -1) = 5(k + -3)
-7 + 2k + (-5 + -3k) = 5(k + -3)

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

Combine like terms: -7 + -5 = -12
-12 + 2k + -3k = 5(k + -3)

Combine like terms: 2k + -3k = -1k
-12 + -1k = 5(k + -3)

Reorder the terms:
-12 + -1k = 5(-3 + k)
-12 + -1k = (-3 * 5 + k * 5)
-12 + -1k = (-15 + 5k)

Solving
-12 + -1k = -15 + 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.
-12 + -1k + -5k = -15 + 5k + -5k

Combine like terms: -1k + -5k = -6k
-12 + -6k = -15 + 5k + -5k

Combine like terms: 5k + -5k = 0
-12 + -6k = -15 + 0
-12 + -6k = -15

Add '12' to each side of the equation.
-12 + 12 + -6k = -15 + 12

Combine like terms: -12 + 12 = 0
0 + -6k = -15 + 12
-6k = -15 + 12

Combine like terms: -15 + 12 = -3
-6k = -3

Divide each side by '-6'.
k = 0.5

Simplifying
k = 0.5

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