4(k-1)-6=2-(3x+5)

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Solution for 4(k-1)-6=2-(3x+5) equation:


Simplifying
4(k + -1) + -6 = 2 + -1(3x + 5)

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

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

Combine like terms: -4 + -6 = -10
-10 + 4k = 2 + -1(3x + 5)

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

Combine like terms: 2 + -5 = -3
-10 + 4k = -3 + -3x

Solving
-10 + 4k = -3 + -3x

Solving for variable 'k'.

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

Add '10' to each side of the equation.
-10 + 10 + 4k = -3 + 10 + -3x

Combine like terms: -10 + 10 = 0
0 + 4k = -3 + 10 + -3x
4k = -3 + 10 + -3x

Combine like terms: -3 + 10 = 7
4k = 7 + -3x

Divide each side by '4'.
k = 1.75 + -0.75x

Simplifying
k = 1.75 + -0.75x

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