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

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

Simplifying
5.75k + 4.50(5 + -1k) = 5.25(5)
5.75k + (5 * 4.50 + -1k * 4.50) = 5.25(5)
5.75k + (22.5 + -4.5k) = 5.25(5)

Reorder the terms:
22.5 + 5.75k + -4.5k = 5.25(5)

Combine like terms: 5.75k + -4.5k = 1.25k
22.5 + 1.25k = 5.25(5)

Multiply 5.25 * 5
22.5 + 1.25k = 26.25

Solving
22.5 + 1.25k = 26.25

Solving for variable 'k'.

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

Add '-22.5' to each side of the equation.
22.5 + -22.5 + 1.25k = 26.25 + -22.5

Combine like terms: 22.5 + -22.5 = 0.0
0.0 + 1.25k = 26.25 + -22.5
1.25k = 26.25 + -22.5

Combine like terms: 26.25 + -22.5 = 3.75
1.25k = 3.75

Divide each side by '1.25'.
k = 3

Simplifying
k = 3