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

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

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

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

Reorder the terms:
-5 + 15z + -5(5 + z) = 3(z + 1)
-5 + 15z + (5 * -5 + z * -5) = 3(z + 1)
-5 + 15z + (-25 + -5z) = 3(z + 1)

Reorder the terms:
-5 + -25 + 15z + -5z = 3(z + 1)

Combine like terms: -5 + -25 = -30
-30 + 15z + -5z = 3(z + 1)

Combine like terms: 15z + -5z = 10z
-30 + 10z = 3(z + 1)

Reorder the terms:
-30 + 10z = 3(1 + z)
-30 + 10z = (1 * 3 + z * 3)
-30 + 10z = (3 + 3z)

Solving
-30 + 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.
-30 + 10z + -3z = 3 + 3z + -3z

Combine like terms: 10z + -3z = 7z
-30 + 7z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-30 + 7z = 3 + 0
-30 + 7z = 3

Add '30' to each side of the equation.
-30 + 30 + 7z = 3 + 30

Combine like terms: -30 + 30 = 0
0 + 7z = 3 + 30
7z = 3 + 30

Combine like terms: 3 + 30 = 33
7z = 33

Divide each side by '7'.
z = 4.714285714

Simplifying
z = 4.714285714