3(z+1)-(7z-3)=-5z

Solution for 3(z+1)-(7z-3)=-5z equation:

Simplifying
3(z + 1) + -1(7z + -3) = -5z

Reorder the terms:
3(1 + z) + -1(7z + -3) = -5z
(1 * 3 + z * 3) + -1(7z + -3) = -5z
(3 + 3z) + -1(7z + -3) = -5z

Reorder the terms:
3 + 3z + -1(-3 + 7z) = -5z
3 + 3z + (-3 * -1 + 7z * -1) = -5z
3 + 3z + (3 + -7z) = -5z

Reorder the terms:
3 + 3 + 3z + -7z = -5z

Combine like terms: 3 + 3 = 6
6 + 3z + -7z = -5z

Combine like terms: 3z + -7z = -4z
6 + -4z = -5z

Solving
6 + -4z = -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.
6 + -4z + 5z = -5z + 5z

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

Combine like terms: -5z + 5z = 0
6 + 1z = 0

Add '-6' to each side of the equation.
6 + -6 + 1z = 0 + -6

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

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

Divide each side by '1'.
z = -6

Simplifying
z = -6