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

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

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

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

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

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

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

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

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

Solving
-8 + 6z = 3 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-8 + 6z + -3z = 3 + 3z + -3z

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

Combine like terms: 3z + -3z = 0
-8 + 3z = 3 + 0
-8 + 3z = 3

Add '8' to each side of the equation.
-8 + 8 + 3z = 3 + 8

Combine like terms: -8 + 8 = 0
0 + 3z = 3 + 8
3z = 3 + 8

Combine like terms: 3 + 8 = 11
3z = 11

Divide each side by '3'.
z = 3.666666667

Simplifying
z = 3.666666667