3(6z-1)-4(z+8)=5(z+1)

Solution for 3(6z-1)-4(z+8)=5(z+1) equation:

Simplifying
3(6z + -1) + -4(z + 8) = 5(z + 1)

Reorder the terms:
3(-1 + 6z) + -4(z + 8) = 5(z + 1)
(-1 * 3 + 6z * 3) + -4(z + 8) = 5(z + 1)
(-3 + 18z) + -4(z + 8) = 5(z + 1)

Reorder the terms:
-3 + 18z + -4(8 + z) = 5(z + 1)
-3 + 18z + (8 * -4 + z * -4) = 5(z + 1)
-3 + 18z + (-32 + -4z) = 5(z + 1)

Reorder the terms:
-3 + -32 + 18z + -4z = 5(z + 1)

Combine like terms: -3 + -32 = -35
-35 + 18z + -4z = 5(z + 1)

Combine like terms: 18z + -4z = 14z
-35 + 14z = 5(z + 1)

Reorder the terms:
-35 + 14z = 5(1 + z)
-35 + 14z = (1 * 5 + z * 5)
-35 + 14z = (5 + 5z)

Solving
-35 + 14z = 5 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-35 + 14z + -5z = 5 + 5z + -5z

Combine like terms: 14z + -5z = 9z
-35 + 9z = 5 + 5z + -5z

Combine like terms: 5z + -5z = 0
-35 + 9z = 5 + 0
-35 + 9z = 5

Add '35' to each side of the equation.
-35 + 35 + 9z = 5 + 35

Combine like terms: -35 + 35 = 0
0 + 9z = 5 + 35
9z = 5 + 35

Combine like terms: 5 + 35 = 40
9z = 40

Divide each side by '9'.
z = 4.444444444

Simplifying
z = 4.444444444