6(5c-8)-20=11(2k-3)+3k

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Solution for 6(5c-8)-20=11(2k-3)+3k equation: 


Simplifying
6(5c + -8) + -20 = 11(2k + -3) + 3k

Reorder the terms:
6(-8 + 5c) + -20 = 11(2k + -3) + 3k
(-8 * 6 + 5c * 6) + -20 = 11(2k + -3) + 3k
(-48 + 30c) + -20 = 11(2k + -3) + 3k

Reorder the terms:
-48 + -20 + 30c = 11(2k + -3) + 3k

Combine like terms: -48 + -20 = -68
-68 + 30c = 11(2k + -3) + 3k

Reorder the terms:
-68 + 30c = 11(-3 + 2k) + 3k
-68 + 30c = (-3 * 11 + 2k * 11) + 3k
-68 + 30c = (-33 + 22k) + 3k

Combine like terms: 22k + 3k = 25k
-68 + 30c = -33 + 25k

Solving
-68 + 30c = -33 + 25k

Solving for variable 'c'.

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

Add '68' to each side of the equation.
-68 + 68 + 30c = -33 + 68 + 25k

Combine like terms: -68 + 68 = 0
0 + 30c = -33 + 68 + 25k
30c = -33 + 68 + 25k

Combine like terms: -33 + 68 = 35
30c = 35 + 25k

Divide each side by '30'.
c = 1.166666667 + 0.8333333333k

Simplifying
c = 1.166666667 + 0.8333333333k

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