(2k+5)2=3(2k+5)+10

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Solution for (2k+5)2=3(2k+5)+10 equation:


Simplifying
(2k + 5) * 2 = 3(2k + 5) + 10

Reorder the terms:
(5 + 2k) * 2 = 3(2k + 5) + 10

Reorder the terms for easier multiplication:
2(5 + 2k) = 3(2k + 5) + 10
(5 * 2 + 2k * 2) = 3(2k + 5) + 10
(10 + 4k) = 3(2k + 5) + 10

Reorder the terms:
10 + 4k = 3(5 + 2k) + 10
10 + 4k = (5 * 3 + 2k * 3) + 10
10 + 4k = (15 + 6k) + 10

Reorder the terms:
10 + 4k = 15 + 10 + 6k

Combine like terms: 15 + 10 = 25
10 + 4k = 25 + 6k

Solving
10 + 4k = 25 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
10 + 4k + -6k = 25 + 6k + -6k

Combine like terms: 4k + -6k = -2k
10 + -2k = 25 + 6k + -6k

Combine like terms: 6k + -6k = 0
10 + -2k = 25 + 0
10 + -2k = 25

Add '-10' to each side of the equation.
10 + -10 + -2k = 25 + -10

Combine like terms: 10 + -10 = 0
0 + -2k = 25 + -10
-2k = 25 + -10

Combine like terms: 25 + -10 = 15
-2k = 15

Divide each side by '-2'.
k = -7.5

Simplifying
k = -7.5

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