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

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

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

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

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

Combine like terms: -3 + 4 = 1
1 + 5z + 2z = 3(z + -1) + -2z

Combine like terms: 5z + 2z = 7z
1 + 7z = 3(z + -1) + -2z

Reorder the terms:
1 + 7z = 3(-1 + z) + -2z
1 + 7z = (-1 * 3 + z * 3) + -2z
1 + 7z = (-3 + 3z) + -2z

Combine like terms: 3z + -2z = 1z
1 + 7z = -3 + 1z

Solving
1 + 7z = -3 + 1z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
1 + 7z + -1z = -3 + 1z + -1z

Combine like terms: 7z + -1z = 6z
1 + 6z = -3 + 1z + -1z

Combine like terms: 1z + -1z = 0
1 + 6z = -3 + 0
1 + 6z = -3

Add '-1' to each side of the equation.
1 + -1 + 6z = -3 + -1

Combine like terms: 1 + -1 = 0
0 + 6z = -3 + -1
6z = -3 + -1

Combine like terms: -3 + -1 = -4
6z = -4

Divide each side by '6'.
z = -0.6666666667

Simplifying
z = -0.6666666667