4(k-1)+3=2(k+5)

Solution for 4(k-1)+3=2(k+5) equation:

Simplifying
4(k + -1) + 3 = 2(k + 5)

Reorder the terms:
4(-1 + k) + 3 = 2(k + 5)
(-1 * 4 + k * 4) + 3 = 2(k + 5)
(-4 + 4k) + 3 = 2(k + 5)

Reorder the terms:
-4 + 3 + 4k = 2(k + 5)

Combine like terms: -4 + 3 = -1
-1 + 4k = 2(k + 5)

Reorder the terms:
-1 + 4k = 2(5 + k)
-1 + 4k = (5 * 2 + k * 2)
-1 + 4k = (10 + 2k)

Solving
-1 + 4k = 10 + 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.
-1 + 4k + -2k = 10 + 2k + -2k

Combine like terms: 4k + -2k = 2k
-1 + 2k = 10 + 2k + -2k

Combine like terms: 2k + -2k = 0
-1 + 2k = 10 + 0
-1 + 2k = 10

Add '1' to each side of the equation.
-1 + 1 + 2k = 10 + 1

Combine like terms: -1 + 1 = 0
0 + 2k = 10 + 1
2k = 10 + 1

Combine like terms: 10 + 1 = 11
2k = 11

Divide each side by '2'.
k = 5.5

Simplifying
k = 5.5