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

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Solution for 2.5(k+2)=1.5(1+k) equation: 


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

Reorder the terms:
2.5(2 + k) = 1.5(1 + k)
(2 * 2.5 + k * 2.5) = 1.5(1 + k)
(5 + 2.5k) = 1.5(1 + k)
5 + 2.5k = (1 * 1.5 + k * 1.5)
5 + 2.5k = (1.5 + 1.5k)

Solving
5 + 2.5k = 1.5 + 1.5k

Solving for variable 'k'.

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

Add '-1.5k' to each side of the equation.
5 + 2.5k + -1.5k = 1.5 + 1.5k + -1.5k

Combine like terms: 2.5k + -1.5k = 1k
5 + 1k = 1.5 + 1.5k + -1.5k

Combine like terms: 1.5k + -1.5k = 0.0
5 + 1k = 1.5 + 0.0
5 + 1k = 1.5

Add '-5' to each side of the equation.
5 + -5 + 1k = 1.5 + -5

Combine like terms: 5 + -5 = 0
0 + 1k = 1.5 + -5
1k = 1.5 + -5

Combine like terms: 1.5 + -5 = -3.5
1k = -3.5

Divide each side by '1'.
k = -3.5

Simplifying
k = -3.5

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