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

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Solution for 4(k-2)=-2(3k+5)+1 equation:


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

Reorder the terms:
4(-2 + k) = -2(3k + 5) + 1
(-2 * 4 + k * 4) = -2(3k + 5) + 1
(-8 + 4k) = -2(3k + 5) + 1

Reorder the terms:
-8 + 4k = -2(5 + 3k) + 1
-8 + 4k = (5 * -2 + 3k * -2) + 1
-8 + 4k = (-10 + -6k) + 1

Reorder the terms:
-8 + 4k = -10 + 1 + -6k

Combine like terms: -10 + 1 = -9
-8 + 4k = -9 + -6k

Solving
-8 + 4k = -9 + -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.
-8 + 4k + 6k = -9 + -6k + 6k

Combine like terms: 4k + 6k = 10k
-8 + 10k = -9 + -6k + 6k

Combine like terms: -6k + 6k = 0
-8 + 10k = -9 + 0
-8 + 10k = -9

Add '8' to each side of the equation.
-8 + 8 + 10k = -9 + 8

Combine like terms: -8 + 8 = 0
0 + 10k = -9 + 8
10k = -9 + 8

Combine like terms: -9 + 8 = -1
10k = -1

Divide each side by '10'.
k = -0.1

Simplifying
k = -0.1

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