3(k+1)-2(k-2)=k+2(k+1)

Solution for 3(k+1)-2(k-2)=k+2(k+1) equation:

Simplifying
3(k + 1) + -2(k + -2) = k + 2(k + 1)

Reorder the terms:
3(1 + k) + -2(k + -2) = k + 2(k + 1)
(1 * 3 + k * 3) + -2(k + -2) = k + 2(k + 1)
(3 + 3k) + -2(k + -2) = k + 2(k + 1)

Reorder the terms:
3 + 3k + -2(-2 + k) = k + 2(k + 1)
3 + 3k + (-2 * -2 + k * -2) = k + 2(k + 1)
3 + 3k + (4 + -2k) = k + 2(k + 1)

Reorder the terms:
3 + 4 + 3k + -2k = k + 2(k + 1)

Combine like terms: 3 + 4 = 7
7 + 3k + -2k = k + 2(k + 1)

Combine like terms: 3k + -2k = 1k
7 + 1k = k + 2(k + 1)

Reorder the terms:
7 + 1k = k + 2(1 + k)
7 + 1k = k + (1 * 2 + k * 2)
7 + 1k = k + (2 + 2k)

Reorder the terms:
7 + 1k = 2 + k + 2k

Combine like terms: k + 2k = 3k
7 + 1k = 2 + 3k

Solving
7 + 1k = 2 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
7 + 1k + -3k = 2 + 3k + -3k

Combine like terms: 1k + -3k = -2k
7 + -2k = 2 + 3k + -3k

Combine like terms: 3k + -3k = 0
7 + -2k = 2 + 0
7 + -2k = 2

Add '-7' to each side of the equation.
7 + -7 + -2k = 2 + -7

Combine like terms: 7 + -7 = 0
0 + -2k = 2 + -7
-2k = 2 + -7

Combine like terms: 2 + -7 = -5
-2k = -5

Divide each side by '-2'.
k = 2.5

Simplifying
k = 2.5