2(z+3)-(1-4z)=5z

Solution for 2(z+3)-(1-4z)=5z equation:

Simplifying
2(z + 3) + -1(1 + -4z) = 5z

Reorder the terms:
2(3 + z) + -1(1 + -4z) = 5z
(3 * 2 + z * 2) + -1(1 + -4z) = 5z
(6 + 2z) + -1(1 + -4z) = 5z
6 + 2z + (1 * -1 + -4z * -1) = 5z
6 + 2z + (-1 + 4z) = 5z

Reorder the terms:
6 + -1 + 2z + 4z = 5z

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

Combine like terms: 2z + 4z = 6z
5 + 6z = 5z

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

Combine like terms: 6z + -5z = 1z
5 + 1z = 5z + -5z

Combine like terms: 5z + -5z = 0
5 + 1z = 0

Add '-5' to each side of the equation.
5 + -5 + 1z = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 1z = 0 + -5
1z = 0 + -5

Combine like terms: 0 + -5 = -5
1z = -5

Divide each side by '1'.
z = -5

Simplifying
z = -5