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

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Solution for 8(k+2)-(5k-3)=2k equation:


Simplifying
8(k + 2) + -1(5k + -3) = 2k

Reorder the terms:
8(2 + k) + -1(5k + -3) = 2k
(2 * 8 + k * 8) + -1(5k + -3) = 2k
(16 + 8k) + -1(5k + -3) = 2k

Reorder the terms:
16 + 8k + -1(-3 + 5k) = 2k
16 + 8k + (-3 * -1 + 5k * -1) = 2k
16 + 8k + (3 + -5k) = 2k

Reorder the terms:
16 + 3 + 8k + -5k = 2k

Combine like terms: 16 + 3 = 19
19 + 8k + -5k = 2k

Combine like terms: 8k + -5k = 3k
19 + 3k = 2k

Solving
19 + 3k = 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 + 3k + -2k = 2k + -2k

Combine like terms: 3k + -2k = 1k
19 + 1k = 2k + -2k

Combine like terms: 2k + -2k = 0
19 + 1k = 0

Add '-19' to each side of the equation.
19 + -19 + 1k = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 1k = 0 + -19
1k = 0 + -19

Combine like terms: 0 + -19 = -19
1k = -19

Divide each side by '1'.
k = -19

Simplifying
k = -19

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