3(4z-1)-2(z+8)=3(z+1)

Solution for 3(4z-1)-2(z+8)=3(z+1) equation:

Simplifying
3(4z + -1) + -2(z + 8) = 3(z + 1)

Reorder the terms:
3(-1 + 4z) + -2(z + 8) = 3(z + 1)
(-1 * 3 + 4z * 3) + -2(z + 8) = 3(z + 1)
(-3 + 12z) + -2(z + 8) = 3(z + 1)

Reorder the terms:
-3 + 12z + -2(8 + z) = 3(z + 1)
-3 + 12z + (8 * -2 + z * -2) = 3(z + 1)
-3 + 12z + (-16 + -2z) = 3(z + 1)

Reorder the terms:
-3 + -16 + 12z + -2z = 3(z + 1)

Combine like terms: -3 + -16 = -19
-19 + 12z + -2z = 3(z + 1)

Combine like terms: 12z + -2z = 10z
-19 + 10z = 3(z + 1)

Reorder the terms:
-19 + 10z = 3(1 + z)
-19 + 10z = (1 * 3 + z * 3)
-19 + 10z = (3 + 3z)

Solving
-19 + 10z = 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.
-19 + 10z + -3z = 3 + 3z + -3z

Combine like terms: 10z + -3z = 7z
-19 + 7z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-19 + 7z = 3 + 0
-19 + 7z = 3

Add '19' to each side of the equation.
-19 + 19 + 7z = 3 + 19

Combine like terms: -19 + 19 = 0
0 + 7z = 3 + 19
7z = 3 + 19

Combine like terms: 3 + 19 = 22
7z = 22

Divide each side by '7'.
z = 3.142857143

Simplifying
z = 3.142857143