6(2z-1)-4(z+8)=5(z+1)

Solution for 6(2z-1)-4(z+8)=5(z+1) equation:

Simplifying
6(2z + -1) + -4(z + 8) = 5(z + 1)

Reorder the terms:
6(-1 + 2z) + -4(z + 8) = 5(z + 1)
(-1 * 6 + 2z * 6) + -4(z + 8) = 5(z + 1)
(-6 + 12z) + -4(z + 8) = 5(z + 1)

Reorder the terms:
-6 + 12z + -4(8 + z) = 5(z + 1)
-6 + 12z + (8 * -4 + z * -4) = 5(z + 1)
-6 + 12z + (-32 + -4z) = 5(z + 1)

Reorder the terms:
-6 + -32 + 12z + -4z = 5(z + 1)

Combine like terms: -6 + -32 = -38
-38 + 12z + -4z = 5(z + 1)

Combine like terms: 12z + -4z = 8z
-38 + 8z = 5(z + 1)

Reorder the terms:
-38 + 8z = 5(1 + z)
-38 + 8z = (1 * 5 + z * 5)
-38 + 8z = (5 + 5z)

Solving
-38 + 8z = 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.
-38 + 8z + -5z = 5 + 5z + -5z

Combine like terms: 8z + -5z = 3z
-38 + 3z = 5 + 5z + -5z

Combine like terms: 5z + -5z = 0
-38 + 3z = 5 + 0
-38 + 3z = 5

Add '38' to each side of the equation.
-38 + 38 + 3z = 5 + 38

Combine like terms: -38 + 38 = 0
0 + 3z = 5 + 38
3z = 5 + 38

Combine like terms: 5 + 38 = 43
3z = 43

Divide each side by '3'.
z = 14.33333333

Simplifying
z = 14.33333333