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

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


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

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

Reorder the terms for easier multiplication:
6 * 20(-8 + 5k) = 11(2k + -3) + 3k

Multiply 6 * 20
120(-8 + 5k) = 11(2k + -3) + 3k
(-8 * 120 + 5k * 120) = 11(2k + -3) + 3k
(-960 + 600k) = 11(2k + -3) + 3k

Reorder the terms:
-960 + 600k = 11(-3 + 2k) + 3k
-960 + 600k = (-3 * 11 + 2k * 11) + 3k
-960 + 600k = (-33 + 22k) + 3k

Combine like terms: 22k + 3k = 25k
-960 + 600k = -33 + 25k

Solving
-960 + 600k = -33 + 25k

Solving for variable 'k'.

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

Add '-25k' to each side of the equation.
-960 + 600k + -25k = -33 + 25k + -25k

Combine like terms: 600k + -25k = 575k
-960 + 575k = -33 + 25k + -25k

Combine like terms: 25k + -25k = 0
-960 + 575k = -33 + 0
-960 + 575k = -33

Add '960' to each side of the equation.
-960 + 960 + 575k = -33 + 960

Combine like terms: -960 + 960 = 0
0 + 575k = -33 + 960
575k = -33 + 960

Combine like terms: -33 + 960 = 927
575k = 927

Divide each side by '575'.
k = 1.612173913

Simplifying
k = 1.612173913

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