3(4z-1)-5(z+8)=4(z+1)

Solution for 3(4z-1)-5(z+8)=4(z+1) equation:

Simplifying
3(4z + -1) + -5(z + 8) = 4(z + 1)

Reorder the terms:
3(-1 + 4z) + -5(z + 8) = 4(z + 1)
(-1 * 3 + 4z * 3) + -5(z + 8) = 4(z + 1)
(-3 + 12z) + -5(z + 8) = 4(z + 1)

Reorder the terms:
-3 + 12z + -5(8 + z) = 4(z + 1)
-3 + 12z + (8 * -5 + z * -5) = 4(z + 1)
-3 + 12z + (-40 + -5z) = 4(z + 1)

Reorder the terms:
-3 + -40 + 12z + -5z = 4(z + 1)

Combine like terms: -3 + -40 = -43
-43 + 12z + -5z = 4(z + 1)

Combine like terms: 12z + -5z = 7z
-43 + 7z = 4(z + 1)

Reorder the terms:
-43 + 7z = 4(1 + z)
-43 + 7z = (1 * 4 + z * 4)
-43 + 7z = (4 + 4z)

Solving
-43 + 7z = 4 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-43 + 7z + -4z = 4 + 4z + -4z

Combine like terms: 7z + -4z = 3z
-43 + 3z = 4 + 4z + -4z

Combine like terms: 4z + -4z = 0
-43 + 3z = 4 + 0
-43 + 3z = 4

Add '43' to each side of the equation.
-43 + 43 + 3z = 4 + 43

Combine like terms: -43 + 43 = 0
0 + 3z = 4 + 43
3z = 4 + 43

Combine like terms: 4 + 43 = 47
3z = 47

Divide each side by '3'.
z = 15.66666667

Simplifying
z = 15.66666667