3(k+4)-2(2k+5)=25

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Solution for 3(k+4)-2(2k+5)=25 equation: 


Simplifying
3(k + 4) + -2(2k + 5) = 25

Reorder the terms:
3(4 + k) + -2(2k + 5) = 25
(4 * 3 + k * 3) + -2(2k + 5) = 25
(12 + 3k) + -2(2k + 5) = 25

Reorder the terms:
12 + 3k + -2(5 + 2k) = 25
12 + 3k + (5 * -2 + 2k * -2) = 25
12 + 3k + (-10 + -4k) = 25

Reorder the terms:
12 + -10 + 3k + -4k = 25

Combine like terms: 12 + -10 = 2
2 + 3k + -4k = 25

Combine like terms: 3k + -4k = -1k
2 + -1k = 25

Solving
2 + -1k = 25

Solving for variable 'k'.

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

Add '-2' to each side of the equation.
2 + -2 + -1k = 25 + -2

Combine like terms: 2 + -2 = 0
0 + -1k = 25 + -2
-1k = 25 + -2

Combine like terms: 25 + -2 = 23
-1k = 23

Divide each side by '-1'.
k = -23

Simplifying
k = -23

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