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

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


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

Reorder the terms:
5 + 3(-5 + k) = 2(2k + 3) + -3
5 + (-5 * 3 + k * 3) = 2(2k + 3) + -3
5 + (-15 + 3k) = 2(2k + 3) + -3

Combine like terms: 5 + -15 = -10
-10 + 3k = 2(2k + 3) + -3

Reorder the terms:
-10 + 3k = 2(3 + 2k) + -3
-10 + 3k = (3 * 2 + 2k * 2) + -3
-10 + 3k = (6 + 4k) + -3

Reorder the terms:
-10 + 3k = 6 + -3 + 4k

Combine like terms: 6 + -3 = 3
-10 + 3k = 3 + 4k

Solving
-10 + 3k = 3 + 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.
-10 + 3k + -4k = 3 + 4k + -4k

Combine like terms: 3k + -4k = -1k
-10 + -1k = 3 + 4k + -4k

Combine like terms: 4k + -4k = 0
-10 + -1k = 3 + 0
-10 + -1k = 3

Add '10' to each side of the equation.
-10 + 10 + -1k = 3 + 10

Combine like terms: -10 + 10 = 0
0 + -1k = 3 + 10
-1k = 3 + 10

Combine like terms: 3 + 10 = 13
-1k = 13

Divide each side by '-1'.
k = -13

Simplifying
k = -13

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