6(2z-1)-4(z+5)=5(z+1)

Solution for 6(2z-1)-4(z+5)=5(z+1) equation:

Simplifying
6(2z + -1) + -4(z + 5) = 5(z + 1)

Reorder the terms:
6(-1 + 2z) + -4(z + 5) = 5(z + 1)
(-1 * 6 + 2z * 6) + -4(z + 5) = 5(z + 1)
(-6 + 12z) + -4(z + 5) = 5(z + 1)

Reorder the terms:
-6 + 12z + -4(5 + z) = 5(z + 1)
-6 + 12z + (5 * -4 + z * -4) = 5(z + 1)
-6 + 12z + (-20 + -4z) = 5(z + 1)

Reorder the terms:
-6 + -20 + 12z + -4z = 5(z + 1)

Combine like terms: -6 + -20 = -26
-26 + 12z + -4z = 5(z + 1)

Combine like terms: 12z + -4z = 8z
-26 + 8z = 5(z + 1)

Reorder the terms:
-26 + 8z = 5(1 + z)
-26 + 8z = (1 * 5 + z * 5)
-26 + 8z = (5 + 5z)

Solving
-26 + 8z = 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 + 8z + -5z = 5 + 5z + -5z

Combine like terms: 8z + -5z = 3z
-26 + 3z = 5 + 5z + -5z

Combine like terms: 5z + -5z = 0
-26 + 3z = 5 + 0
-26 + 3z = 5

Add '26' to each side of the equation.
-26 + 26 + 3z = 5 + 26

Combine like terms: -26 + 26 = 0
0 + 3z = 5 + 26
3z = 5 + 26

Combine like terms: 5 + 26 = 31
3z = 31

Divide each side by '3'.
z = 10.33333333

Simplifying
z = 10.33333333