2.5 + 0.5k=2 (k + 0.5)

k=1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

k = 1

Step-by-step explanation:

Solve for k:

0.5 k + 2.5 = 2 (k + 0.5)

Expand out terms of the right hand side:

0.5 k + 2.5 = 2 k + 1

Subtract 2 k from both sides:

(0.5 k - 2 k) + 2.5 = (2 k - 2 k) + 1

0.5 k - 2 k = - 1.5 k:

-1.5 k + 2.5 = (2 k - 2 k) + 1

2 k - 2 k = 0:

2.5 - 1.5 k = 1

Subtract 2.5' from both sides:

(2.5 - 2.5) - 1.5 k = 1 - 2.5

2.5 - 2.5 = 0:

-1.5 k = 1 - 2.5

1 - 2.5 = - 1.5:

-1.5 k = - 1.5

Divide both sides of - 1.5 k = - 1.5 by - 1.5:

(-1.5 k) / (-1.5) = (-1.5) / (-1.5)

(-1.5) / (-1.5) = 1:

k = (-1.5) / (-1.5)

(-1.5) / (-1.5) = 1:

Answer: k = 1