5(2z-1)-2(z+8)=2(z+1)

Solution for 5(2z-1)-2(z+8)=2(z+1) equation:

Simplifying
5(2z + -1) + -2(z + 8) = 2(z + 1)

Reorder the terms:
5(-1 + 2z) + -2(z + 8) = 2(z + 1)
(-1 * 5 + 2z * 5) + -2(z + 8) = 2(z + 1)
(-5 + 10z) + -2(z + 8) = 2(z + 1)

Reorder the terms:
-5 + 10z + -2(8 + z) = 2(z + 1)
-5 + 10z + (8 * -2 + z * -2) = 2(z + 1)
-5 + 10z + (-16 + -2z) = 2(z + 1)

Reorder the terms:
-5 + -16 + 10z + -2z = 2(z + 1)

Combine like terms: -5 + -16 = -21
-21 + 10z + -2z = 2(z + 1)

Combine like terms: 10z + -2z = 8z
-21 + 8z = 2(z + 1)

Reorder the terms:
-21 + 8z = 2(1 + z)
-21 + 8z = (1 * 2 + z * 2)
-21 + 8z = (2 + 2z)

Solving
-21 + 8z = 2 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-21 + 8z + -2z = 2 + 2z + -2z

Combine like terms: 8z + -2z = 6z
-21 + 6z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-21 + 6z = 2 + 0
-21 + 6z = 2

Add '21' to each side of the equation.
-21 + 21 + 6z = 2 + 21

Combine like terms: -21 + 21 = 0
0 + 6z = 2 + 21
6z = 2 + 21

Combine like terms: 2 + 21 = 23
6z = 23

Divide each side by '6'.
z = 3.833333333

Simplifying
z = 3.833333333