3(6z-1)-5(z+4)=6(z+1)

Solution for 3(6z-1)-5(z+4)=6(z+1) equation:

Simplifying
3(6z + -1) + -5(z + 4) = 6(z + 1)

Reorder the terms:
3(-1 + 6z) + -5(z + 4) = 6(z + 1)
(-1 * 3 + 6z * 3) + -5(z + 4) = 6(z + 1)
(-3 + 18z) + -5(z + 4) = 6(z + 1)

Reorder the terms:
-3 + 18z + -5(4 + z) = 6(z + 1)
-3 + 18z + (4 * -5 + z * -5) = 6(z + 1)
-3 + 18z + (-20 + -5z) = 6(z + 1)

Reorder the terms:
-3 + -20 + 18z + -5z = 6(z + 1)

Combine like terms: -3 + -20 = -23
-23 + 18z + -5z = 6(z + 1)

Combine like terms: 18z + -5z = 13z
-23 + 13z = 6(z + 1)

Reorder the terms:
-23 + 13z = 6(1 + z)
-23 + 13z = (1 * 6 + z * 6)
-23 + 13z = (6 + 6z)

Solving
-23 + 13z = 6 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-23 + 13z + -6z = 6 + 6z + -6z

Combine like terms: 13z + -6z = 7z
-23 + 7z = 6 + 6z + -6z

Combine like terms: 6z + -6z = 0
-23 + 7z = 6 + 0
-23 + 7z = 6

Add '23' to each side of the equation.
-23 + 23 + 7z = 6 + 23

Combine like terms: -23 + 23 = 0
0 + 7z = 6 + 23
7z = 6 + 23

Combine like terms: 6 + 23 = 29
7z = 29

Divide each side by '7'.
z = 4.142857143

Simplifying
z = 4.142857143