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

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

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

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

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

Combine like terms: 6 + -3 = 3
-2 + 2z = 3 + -3z

Solving
-2 + 2z = 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.
-2 + 2z + 3z = 3 + -3z + 3z

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

Combine like terms: -3z + 3z = 0
-2 + 5z = 3 + 0
-2 + 5z = 3

Add '2' to each side of the equation.
-2 + 2 + 5z = 3 + 2

Combine like terms: -2 + 2 = 0
0 + 5z = 3 + 2
5z = 3 + 2

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

Divide each side by '5'.
z = 1

Simplifying
z = 1