2(6z-1)-5(z+8)=3(z+1)

Solution for 2(6z-1)-5(z+8)=3(z+1) equation:

Simplifying
2(6z + -1) + -5(z + 8) = 3(z + 1)

Reorder the terms:
2(-1 + 6z) + -5(z + 8) = 3(z + 1)
(-1 * 2 + 6z * 2) + -5(z + 8) = 3(z + 1)
(-2 + 12z) + -5(z + 8) = 3(z + 1)

Reorder the terms:
-2 + 12z + -5(8 + z) = 3(z + 1)
-2 + 12z + (8 * -5 + z * -5) = 3(z + 1)
-2 + 12z + (-40 + -5z) = 3(z + 1)

Reorder the terms:
-2 + -40 + 12z + -5z = 3(z + 1)

Combine like terms: -2 + -40 = -42
-42 + 12z + -5z = 3(z + 1)

Combine like terms: 12z + -5z = 7z
-42 + 7z = 3(z + 1)

Reorder the terms:
-42 + 7z = 3(1 + z)
-42 + 7z = (1 * 3 + z * 3)
-42 + 7z = (3 + 3z)

Solving
-42 + 7z = 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 + 7z + -3z = 3 + 3z + -3z

Combine like terms: 7z + -3z = 4z
-42 + 4z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-42 + 4z = 3 + 0
-42 + 4z = 3

Add '42' to each side of the equation.
-42 + 42 + 4z = 3 + 42

Combine like terms: -42 + 42 = 0
0 + 4z = 3 + 42
4z = 3 + 42

Combine like terms: 3 + 42 = 45
4z = 45

Divide each side by '4'.
z = 11.25

Simplifying
z = 11.25