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

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

Simplifying
5z + (3 + 5z) + -1(z + -3) = 0

Remove parenthesis around (3 + 5z)
5z + 3 + 5z + -1(z + -3) = 0

Reorder the terms:
5z + 3 + 5z + -1(-3 + z) = 0
5z + 3 + 5z + (-3 * -1 + z * -1) = 0
5z + 3 + 5z + (3 + -1z) = 0

Reorder the terms:
3 + 3 + 5z + 5z + -1z = 0

Combine like terms: 3 + 3 = 6
6 + 5z + 5z + -1z = 0

Combine like terms: 5z + 5z = 10z
6 + 10z + -1z = 0

Combine like terms: 10z + -1z = 9z
6 + 9z = 0

Solving
6 + 9z = 0

Solving for variable 'z'.

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

Add '-6' to each side of the equation.
6 + -6 + 9z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 9z = 0 + -6
9z = 0 + -6

Combine like terms: 0 + -6 = -6
9z = -6

Divide each side by '9'.
z = -0.6666666667

Simplifying
z = -0.6666666667