2(5z-1)-5(z+8)=3(z+1)

Solution for 2(5z-1)-5(z+8)=3(z+1) equation:

Simplifying
2(5z + -1) + -5(z + 8) = 3(z + 1)

Reorder the terms:
2(-1 + 5z) + -5(z + 8) = 3(z + 1)
(-1 * 2 + 5z * 2) + -5(z + 8) = 3(z + 1)
(-2 + 10z) + -5(z + 8) = 3(z + 1)

Reorder the terms:
-2 + 10z + -5(8 + z) = 3(z + 1)
-2 + 10z + (8 * -5 + z * -5) = 3(z + 1)
-2 + 10z + (-40 + -5z) = 3(z + 1)

Reorder the terms:
-2 + -40 + 10z + -5z = 3(z + 1)

Combine like terms: -2 + -40 = -42
-42 + 10z + -5z = 3(z + 1)

Combine like terms: 10z + -5z = 5z
-42 + 5z = 3(z + 1)

Reorder the terms:
-42 + 5z = 3(1 + z)
-42 + 5z = (1 * 3 + z * 3)
-42 + 5z = (3 + 3z)

Solving
-42 + 5z = 3 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-42 + 5z + -3z = 3 + 3z + -3z

Combine like terms: 5z + -3z = 2z
-42 + 2z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-42 + 2z = 3 + 0
-42 + 2z = 3

Add '42' to each side of the equation.
-42 + 42 + 2z = 3 + 42

Combine like terms: -42 + 42 = 0
0 + 2z = 3 + 42
2z = 3 + 42

Combine like terms: 3 + 42 = 45
2z = 45

Divide each side by '2'.
z = 22.5

Simplifying
z = 22.5