3(5z-1)-5(z+8)=2(z+1)

Solution for 3(5z-1)-5(z+8)=2(z+1) equation:

Simplifying
3(5z + -1) + -5(z + 8) = 2(z + 1)

Reorder the terms:
3(-1 + 5z) + -5(z + 8) = 2(z + 1)
(-1 * 3 + 5z * 3) + -5(z + 8) = 2(z + 1)
(-3 + 15z) + -5(z + 8) = 2(z + 1)

Reorder the terms:
-3 + 15z + -5(8 + z) = 2(z + 1)
-3 + 15z + (8 * -5 + z * -5) = 2(z + 1)
-3 + 15z + (-40 + -5z) = 2(z + 1)

Reorder the terms:
-3 + -40 + 15z + -5z = 2(z + 1)

Combine like terms: -3 + -40 = -43
-43 + 15z + -5z = 2(z + 1)

Combine like terms: 15z + -5z = 10z
-43 + 10z = 2(z + 1)

Reorder the terms:
-43 + 10z = 2(1 + z)
-43 + 10z = (1 * 2 + z * 2)
-43 + 10z = (2 + 2z)

Solving
-43 + 10z = 2 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-43 + 10z + -2z = 2 + 2z + -2z

Combine like terms: 10z + -2z = 8z
-43 + 8z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-43 + 8z = 2 + 0
-43 + 8z = 2

Add '43' to each side of the equation.
-43 + 43 + 8z = 2 + 43

Combine like terms: -43 + 43 = 0
0 + 8z = 2 + 43
8z = 2 + 43

Combine like terms: 2 + 43 = 45
8z = 45

Divide each side by '8'.
z = 5.625

Simplifying
z = 5.625