3(5Z-1)-5(Z+4)=3(Z+1)

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

Simplifying
3(5Z + -1) + -5(Z + 4) = 3(Z + 1)

Reorder the terms:
3(-1 + 5Z) + -5(Z + 4) = 3(Z + 1)
(-1 * 3 + 5Z * 3) + -5(Z + 4) = 3(Z + 1)
(-3 + 15Z) + -5(Z + 4) = 3(Z + 1)

Reorder the terms:
-3 + 15Z + -5(4 + Z) = 3(Z + 1)
-3 + 15Z + (4 * -5 + Z * -5) = 3(Z + 1)
-3 + 15Z + (-20 + -5Z) = 3(Z + 1)

Reorder the terms:
-3 + -20 + 15Z + -5Z = 3(Z + 1)

Combine like terms: -3 + -20 = -23
-23 + 15Z + -5Z = 3(Z + 1)

Combine like terms: 15Z + -5Z = 10Z
-23 + 10Z = 3(Z + 1)

Reorder the terms:
-23 + 10Z = 3(1 + Z)
-23 + 10Z = (1 * 3 + Z * 3)
-23 + 10Z = (3 + 3Z)

Solving
-23 + 10Z = 3 + 3Z

Solving for variable 'Z'.

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

Add '-3Z' to each side of the equation.
-23 + 10Z + -3Z = 3 + 3Z + -3Z

Combine like terms: 10Z + -3Z = 7Z
-23 + 7Z = 3 + 3Z + -3Z

Combine like terms: 3Z + -3Z = 0
-23 + 7Z = 3 + 0
-23 + 7Z = 3

Add '23' to each side of the equation.
-23 + 23 + 7Z = 3 + 23

Combine like terms: -23 + 23 = 0
0 + 7Z = 3 + 23
7Z = 3 + 23

Combine like terms: 3 + 23 = 26
7Z = 26

Divide each side by '7'.
Z = 3.714285714

Simplifying
Z = 3.714285714