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

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Solution for 2(3k-1)-3(2k+1)=2(5k-2)+5 equation:


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

Reorder the terms:
2(-1 + 3k) + -3(2k + 1) = 2(5k + -2) + 5
(-1 * 2 + 3k * 2) + -3(2k + 1) = 2(5k + -2) + 5
(-2 + 6k) + -3(2k + 1) = 2(5k + -2) + 5

Reorder the terms:
-2 + 6k + -3(1 + 2k) = 2(5k + -2) + 5
-2 + 6k + (1 * -3 + 2k * -3) = 2(5k + -2) + 5
-2 + 6k + (-3 + -6k) = 2(5k + -2) + 5

Reorder the terms:
-2 + -3 + 6k + -6k = 2(5k + -2) + 5

Combine like terms: -2 + -3 = -5
-5 + 6k + -6k = 2(5k + -2) + 5

Combine like terms: 6k + -6k = 0
-5 + 0 = 2(5k + -2) + 5
-5 = 2(5k + -2) + 5

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

Reorder the terms:
-5 = -4 + 5 + 10k

Combine like terms: -4 + 5 = 1
-5 = 1 + 10k

Solving
-5 = 1 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
-5 + -10k = 1 + 10k + -10k

Combine like terms: 10k + -10k = 0
-5 + -10k = 1 + 0
-5 + -10k = 1

Add '5' to each side of the equation.
-5 + 5 + -10k = 1 + 5

Combine like terms: -5 + 5 = 0
0 + -10k = 1 + 5
-10k = 1 + 5

Combine like terms: 1 + 5 = 6
-10k = 6

Divide each side by '-10'.
k = -0.6

Simplifying
k = -0.6

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