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

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

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

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

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

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

Combine like terms: -2 + -4 = -6
-6 + 12z + -4z = 5(z + 1)

Combine like terms: 12z + -4z = 8z
-6 + 8z = 5(z + 1)

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

Solving
-6 + 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.
-6 + 8z + -5z = 5 + 5z + -5z

Combine like terms: 8z + -5z = 3z
-6 + 3z = 5 + 5z + -5z

Combine like terms: 5z + -5z = 0
-6 + 3z = 5 + 0
-6 + 3z = 5

Add '6' to each side of the equation.
-6 + 6 + 3z = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 3z = 5 + 6
3z = 5 + 6

Combine like terms: 5 + 6 = 11
3z = 11

Divide each side by '3'.
z = 3.666666667

Simplifying
z = 3.666666667