6(4z-1)-2(z+6)=5(z+1)

Solution for 6(4z-1)-2(z+6)=5(z+1) equation:

Simplifying
6(4z + -1) + -2(z + 6) = 5(z + 1)

Reorder the terms:
6(-1 + 4z) + -2(z + 6) = 5(z + 1)
(-1 * 6 + 4z * 6) + -2(z + 6) = 5(z + 1)
(-6 + 24z) + -2(z + 6) = 5(z + 1)

Reorder the terms:
-6 + 24z + -2(6 + z) = 5(z + 1)
-6 + 24z + (6 * -2 + z * -2) = 5(z + 1)
-6 + 24z + (-12 + -2z) = 5(z + 1)

Reorder the terms:
-6 + -12 + 24z + -2z = 5(z + 1)

Combine like terms: -6 + -12 = -18
-18 + 24z + -2z = 5(z + 1)

Combine like terms: 24z + -2z = 22z
-18 + 22z = 5(z + 1)

Reorder the terms:
-18 + 22z = 5(1 + z)
-18 + 22z = (1 * 5 + z * 5)
-18 + 22z = (5 + 5z)

Solving
-18 + 22z = 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.
-18 + 22z + -5z = 5 + 5z + -5z

Combine like terms: 22z + -5z = 17z
-18 + 17z = 5 + 5z + -5z

Combine like terms: 5z + -5z = 0
-18 + 17z = 5 + 0
-18 + 17z = 5

Add '18' to each side of the equation.
-18 + 18 + 17z = 5 + 18

Combine like terms: -18 + 18 = 0
0 + 17z = 5 + 18
17z = 5 + 18

Combine like terms: 5 + 18 = 23
17z = 23

Divide each side by '17'.
z = 1.352941176

Simplifying
z = 1.352941176