5*5.25=(k*5.75)+(5-k*4.50)

Solution for 5*5.25=(k*5.75)+(5-k*4.50) equation:

Simplifying
5 * 5.25 = (k * 5.75) + (5 + -1k * 4.50)

Multiply 5 * 5.25
26.25 = (k * 5.75) + (5 + -1k * 4.50)

Reorder the terms for easier multiplication:
26.25 = (5.75k) + (5 + -1k * 4.50)

Reorder the terms for easier multiplication:
26.25 = (5.75k) + (5 + -1 * 4.50k)

Multiply -1 * 4.50
26.25 = (5.75k) + (5 + -4.5k)

Remove parenthesis around (5 + -4.5k)
26.25 = (5.75k) + 5 + -4.5k

Reorder the terms:
26.25 = 5 + (5.75k) + -4.5k

Combine like terms: (5.75k) + -4.5k = 1.25k
26.25 = 5 + 1.25k

Solving
26.25 = 5 + 1.25k

Solving for variable 'k'.

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

Add '-1.25k' to each side of the equation.
26.25 + -1.25k = 5 + 1.25k + -1.25k

Combine like terms: 1.25k + -1.25k = 0.00
26.25 + -1.25k = 5 + 0.00
26.25 + -1.25k = 5

Add '-26.25' to each side of the equation.
26.25 + -26.25 + -1.25k = 5 + -26.25

Combine like terms: 26.25 + -26.25 = 0.00
0.00 + -1.25k = 5 + -26.25
-1.25k = 5 + -26.25

Combine like terms: 5 + -26.25 = -21.25
-1.25k = -21.25

Divide each side by '-1.25'.
k = 17

Simplifying
k = 17