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

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

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

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

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

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

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

Combine like terms: -5z + z = -4z
-3 + -1z = 3 + -4z

Solving
-3 + -1z = 3 + -4z

Solving for variable 'z'.

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

Add '4z' to each side of the equation.
-3 + -1z + 4z = 3 + -4z + 4z

Combine like terms: -1z + 4z = 3z
-3 + 3z = 3 + -4z + 4z

Combine like terms: -4z + 4z = 0
-3 + 3z = 3 + 0
-3 + 3z = 3

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

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

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

Divide each side by '3'.
z = 2

Simplifying
z = 2