6(3z-1)-4(z+5)=5(z+1)

Solution for 6(3z-1)-4(z+5)=5(z+1) equation:

Simplifying
6(3z + -1) + -4(z + 5) = 5(z + 1)

Reorder the terms:
6(-1 + 3z) + -4(z + 5) = 5(z + 1)
(-1 * 6 + 3z * 6) + -4(z + 5) = 5(z + 1)
(-6 + 18z) + -4(z + 5) = 5(z + 1)

Reorder the terms:
-6 + 18z + -4(5 + z) = 5(z + 1)
-6 + 18z + (5 * -4 + z * -4) = 5(z + 1)
-6 + 18z + (-20 + -4z) = 5(z + 1)

Reorder the terms:
-6 + -20 + 18z + -4z = 5(z + 1)

Combine like terms: -6 + -20 = -26
-26 + 18z + -4z = 5(z + 1)

Combine like terms: 18z + -4z = 14z
-26 + 14z = 5(z + 1)

Reorder the terms:
-26 + 14z = 5(1 + z)
-26 + 14z = (1 * 5 + z * 5)
-26 + 14z = (5 + 5z)

Solving
-26 + 14z = 5 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-26 + 14z + -5z = 5 + 5z + -5z

Combine like terms: 14z + -5z = 9z
-26 + 9z = 5 + 5z + -5z

Combine like terms: 5z + -5z = 0
-26 + 9z = 5 + 0
-26 + 9z = 5

Add '26' to each side of the equation.
-26 + 26 + 9z = 5 + 26

Combine like terms: -26 + 26 = 0
0 + 9z = 5 + 26
9z = 5 + 26

Combine like terms: 5 + 26 = 31
9z = 31

Divide each side by '9'.
z = 3.444444444

Simplifying
z = 3.444444444