17-(4k-2)=2(k+3)

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Solution for 17-(4k-2)=2(k+3) equation:


Simplifying
17 + -1(4k + -2) = 2(k + 3)

Reorder the terms:
17 + -1(-2 + 4k) = 2(k + 3)
17 + (-2 * -1 + 4k * -1) = 2(k + 3)
17 + (2 + -4k) = 2(k + 3)

Combine like terms: 17 + 2 = 19
19 + -4k = 2(k + 3)

Reorder the terms:
19 + -4k = 2(3 + k)
19 + -4k = (3 * 2 + k * 2)
19 + -4k = (6 + 2k)

Solving
19 + -4k = 6 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
19 + -4k + -2k = 6 + 2k + -2k

Combine like terms: -4k + -2k = -6k
19 + -6k = 6 + 2k + -2k

Combine like terms: 2k + -2k = 0
19 + -6k = 6 + 0
19 + -6k = 6

Add '-19' to each side of the equation.
19 + -19 + -6k = 6 + -19

Combine like terms: 19 + -19 = 0
0 + -6k = 6 + -19
-6k = 6 + -19

Combine like terms: 6 + -19 = -13
-6k = -13

Divide each side by '-6'.
k = 2.166666667

Simplifying
k = 2.166666667

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