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

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

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

Reorder the terms:
6(-1 + 3z) + -5(z + 8) = 3(z + 1)
(-1 * 6 + 3z * 6) + -5(z + 8) = 3(z + 1)
(-6 + 18z) + -5(z + 8) = 3(z + 1)

Reorder the terms:
-6 + 18z + -5(8 + z) = 3(z + 1)
-6 + 18z + (8 * -5 + z * -5) = 3(z + 1)
-6 + 18z + (-40 + -5z) = 3(z + 1)

Reorder the terms:
-6 + -40 + 18z + -5z = 3(z + 1)

Combine like terms: -6 + -40 = -46
-46 + 18z + -5z = 3(z + 1)

Combine like terms: 18z + -5z = 13z
-46 + 13z = 3(z + 1)

Reorder the terms:
-46 + 13z = 3(1 + z)
-46 + 13z = (1 * 3 + z * 3)
-46 + 13z = (3 + 3z)

Solving
-46 + 13z = 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.
-46 + 13z + -3z = 3 + 3z + -3z

Combine like terms: 13z + -3z = 10z
-46 + 10z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-46 + 10z = 3 + 0
-46 + 10z = 3

Add '46' to each side of the equation.
-46 + 46 + 10z = 3 + 46

Combine like terms: -46 + 46 = 0
0 + 10z = 3 + 46
10z = 3 + 46

Combine like terms: 3 + 46 = 49
10z = 49

Divide each side by '10'.
z = 4.9

Simplifying
z = 4.9