3k+.5=2(k+1)

Solution for 3k+.5=2(k+1) equation:

Simplifying
3k + 0.5 = 2(k + 1)

Reorder the terms:
0.5 + 3k = 2(k + 1)

Reorder the terms:
0.5 + 3k = 2(1 + k)
0.5 + 3k = (1 * 2 + k * 2)
0.5 + 3k = (2 + 2k)

Solving
0.5 + 3k = 2 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
0.5 + 3k + -2k = 2 + 2k + -2k

Combine like terms: 3k + -2k = 1k
0.5 + 1k = 2 + 2k + -2k

Combine like terms: 2k + -2k = 0
0.5 + 1k = 2 + 0
0.5 + 1k = 2

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 1k = 2 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 1k = 2 + -0.5
1k = 2 + -0.5

Combine like terms: 2 + -0.5 = 1.5
1k = 1.5

Divide each side by '1'.
k = 1.5

Simplifying
k = 1.5