12-(k+10)+4k=3(2k+1)-11

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Solution for 12-(k+10)+4k=3(2k+1)-11 equation:


Simplifying
12 + -1(k + 10) + 4k = 3(2k + 1) + -11

Reorder the terms:
12 + -1(10 + k) + 4k = 3(2k + 1) + -11
12 + (10 * -1 + k * -1) + 4k = 3(2k + 1) + -11
12 + (-10 + -1k) + 4k = 3(2k + 1) + -11

Combine like terms: 12 + -10 = 2
2 + -1k + 4k = 3(2k + 1) + -11

Combine like terms: -1k + 4k = 3k
2 + 3k = 3(2k + 1) + -11

Reorder the terms:
2 + 3k = 3(1 + 2k) + -11
2 + 3k = (1 * 3 + 2k * 3) + -11
2 + 3k = (3 + 6k) + -11

Reorder the terms:
2 + 3k = 3 + -11 + 6k

Combine like terms: 3 + -11 = -8
2 + 3k = -8 + 6k

Solving
2 + 3k = -8 + 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.
2 + 3k + -6k = -8 + 6k + -6k

Combine like terms: 3k + -6k = -3k
2 + -3k = -8 + 6k + -6k

Combine like terms: 6k + -6k = 0
2 + -3k = -8 + 0
2 + -3k = -8

Add '-2' to each side of the equation.
2 + -2 + -3k = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -3k = -8 + -2
-3k = -8 + -2

Combine like terms: -8 + -2 = -10
-3k = -10

Divide each side by '-3'.
k = 3.333333333

Simplifying
k = 3.333333333

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