2(6z-1)-3(z+2)=5(z+1)

Solution for 2(6z-1)-3(z+2)=5(z+1) equation:

Simplifying
2(6z + -1) + -3(z + 2) = 5(z + 1)

Reorder the terms:
2(-1 + 6z) + -3(z + 2) = 5(z + 1)
(-1 * 2 + 6z * 2) + -3(z + 2) = 5(z + 1)
(-2 + 12z) + -3(z + 2) = 5(z + 1)

Reorder the terms:
-2 + 12z + -3(2 + z) = 5(z + 1)
-2 + 12z + (2 * -3 + z * -3) = 5(z + 1)
-2 + 12z + (-6 + -3z) = 5(z + 1)

Reorder the terms:
-2 + -6 + 12z + -3z = 5(z + 1)

Combine like terms: -2 + -6 = -8
-8 + 12z + -3z = 5(z + 1)

Combine like terms: 12z + -3z = 9z
-8 + 9z = 5(z + 1)

Reorder the terms:
-8 + 9z = 5(1 + z)
-8 + 9z = (1 * 5 + z * 5)
-8 + 9z = (5 + 5z)

Solving
-8 + 9z = 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.
-8 + 9z + -5z = 5 + 5z + -5z

Combine like terms: 9z + -5z = 4z
-8 + 4z = 5 + 5z + -5z

Combine like terms: 5z + -5z = 0
-8 + 4z = 5 + 0
-8 + 4z = 5

Add '8' to each side of the equation.
-8 + 8 + 4z = 5 + 8

Combine like terms: -8 + 8 = 0
0 + 4z = 5 + 8
4z = 5 + 8

Combine like terms: 5 + 8 = 13
4z = 13

Divide each side by '4'.
z = 3.25

Simplifying
z = 3.25