.125(3k-2)=.25(k+5)

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Solution for .125(3k-2)=.25(k+5) equation: 


Simplifying
0.125(3k + -2) = 0.25(k + 5)

Reorder the terms:
0.125(-2 + 3k) = 0.25(k + 5)
(-2 * 0.125 + 3k * 0.125) = 0.25(k + 5)
(-0.25 + 0.375k) = 0.25(k + 5)

Reorder the terms:
-0.25 + 0.375k = 0.25(5 + k)
-0.25 + 0.375k = (5 * 0.25 + k * 0.25)
-0.25 + 0.375k = (1.25 + 0.25k)

Solving
-0.25 + 0.375k = 1.25 + 0.25k

Solving for variable 'k'.

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

Add '-0.25k' to each side of the equation.
-0.25 + 0.375k + -0.25k = 1.25 + 0.25k + -0.25k

Combine like terms: 0.375k + -0.25k = 0.125k
-0.25 + 0.125k = 1.25 + 0.25k + -0.25k

Combine like terms: 0.25k + -0.25k = 0.00
-0.25 + 0.125k = 1.25 + 0.00
-0.25 + 0.125k = 1.25

Add '0.25' to each side of the equation.
-0.25 + 0.25 + 0.125k = 1.25 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + 0.125k = 1.25 + 0.25
0.125k = 1.25 + 0.25

Combine like terms: 1.25 + 0.25 = 1.5
0.125k = 1.5

Divide each side by '0.125'.
k = 12

Simplifying
k = 12

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