2(4z-1)-3(z+6)=2(z+1)

Solution for 2(4z-1)-3(z+6)=2(z+1) equation:

Simplifying
2(4z + -1) + -3(z + 6) = 2(z + 1)

Reorder the terms:
2(-1 + 4z) + -3(z + 6) = 2(z + 1)
(-1 * 2 + 4z * 2) + -3(z + 6) = 2(z + 1)
(-2 + 8z) + -3(z + 6) = 2(z + 1)

Reorder the terms:
-2 + 8z + -3(6 + z) = 2(z + 1)
-2 + 8z + (6 * -3 + z * -3) = 2(z + 1)
-2 + 8z + (-18 + -3z) = 2(z + 1)

Reorder the terms:
-2 + -18 + 8z + -3z = 2(z + 1)

Combine like terms: -2 + -18 = -20
-20 + 8z + -3z = 2(z + 1)

Combine like terms: 8z + -3z = 5z
-20 + 5z = 2(z + 1)

Reorder the terms:
-20 + 5z = 2(1 + z)
-20 + 5z = (1 * 2 + z * 2)
-20 + 5z = (2 + 2z)

Solving
-20 + 5z = 2 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-20 + 5z + -2z = 2 + 2z + -2z

Combine like terms: 5z + -2z = 3z
-20 + 3z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-20 + 3z = 2 + 0
-20 + 3z = 2

Add '20' to each side of the equation.
-20 + 20 + 3z = 2 + 20

Combine like terms: -20 + 20 = 0
0 + 3z = 2 + 20
3z = 2 + 20

Combine like terms: 2 + 20 = 22
3z = 22

Divide each side by '3'.
z = 7.333333333

Simplifying
z = 7.333333333