6(2z-1)-2(2+6)=5(z+1)

Solution for 6(2z-1)-2(2+6)=5(z+1) equation:

Simplifying
6(2z + -1) + -2(2 + 6) = 5(z + 1)

Reorder the terms:
6(-1 + 2z) + -2(2 + 6) = 5(z + 1)
(-1 * 6 + 2z * 6) + -2(2 + 6) = 5(z + 1)
(-6 + 12z) + -2(2 + 6) = 5(z + 1)

Combine like terms: 2 + 6 = 8
-6 + 12z + -2(8) = 5(z + 1)

Multiply -2 * 8
-6 + 12z + -16 = 5(z + 1)

Reorder the terms:
-6 + -16 + 12z = 5(z + 1)

Combine like terms: -6 + -16 = -22
-22 + 12z = 5(z + 1)

Reorder the terms:
-22 + 12z = 5(1 + z)
-22 + 12z = (1 * 5 + z * 5)
-22 + 12z = (5 + 5z)

Solving
-22 + 12z = 5 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-22 + 12z + -5z = 5 + 5z + -5z

Combine like terms: 12z + -5z = 7z
-22 + 7z = 5 + 5z + -5z

Combine like terms: 5z + -5z = 0
-22 + 7z = 5 + 0
-22 + 7z = 5

Add '22' to each side of the equation.
-22 + 22 + 7z = 5 + 22

Combine like terms: -22 + 22 = 0
0 + 7z = 5 + 22
7z = 5 + 22

Combine like terms: 5 + 22 = 27
7z = 27

Divide each side by '7'.
z = 3.857142857

Simplifying
z = 3.857142857