2(6z-1)-4(z+6)=3(z+1)

Solution for 2(6z-1)-4(z+6)=3(z+1) equation:

Simplifying
2(6z + -1) + -4(z + 6) = 3(z + 1)

Reorder the terms:
2(-1 + 6z) + -4(z + 6) = 3(z + 1)
(-1 * 2 + 6z * 2) + -4(z + 6) = 3(z + 1)
(-2 + 12z) + -4(z + 6) = 3(z + 1)

Reorder the terms:
-2 + 12z + -4(6 + z) = 3(z + 1)
-2 + 12z + (6 * -4 + z * -4) = 3(z + 1)
-2 + 12z + (-24 + -4z) = 3(z + 1)

Reorder the terms:
-2 + -24 + 12z + -4z = 3(z + 1)

Combine like terms: -2 + -24 = -26
-26 + 12z + -4z = 3(z + 1)

Combine like terms: 12z + -4z = 8z
-26 + 8z = 3(z + 1)

Reorder the terms:
-26 + 8z = 3(1 + z)
-26 + 8z = (1 * 3 + z * 3)
-26 + 8z = (3 + 3z)

Solving
-26 + 8z = 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.
-26 + 8z + -3z = 3 + 3z + -3z

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

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

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

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

Combine like terms: 3 + 26 = 29
5z = 29

Divide each side by '5'.
z = 5.8

Simplifying
z = 5.8