6(2z-1)-5(z+6)=3(z+1)

Solution for 6(2z-1)-5(z+6)=3(z+1) equation:

Simplifying
6(2z + -1) + -5(z + 6) = 3(z + 1)

Reorder the terms:
6(-1 + 2z) + -5(z + 6) = 3(z + 1)
(-1 * 6 + 2z * 6) + -5(z + 6) = 3(z + 1)
(-6 + 12z) + -5(z + 6) = 3(z + 1)

Reorder the terms:
-6 + 12z + -5(6 + z) = 3(z + 1)
-6 + 12z + (6 * -5 + z * -5) = 3(z + 1)
-6 + 12z + (-30 + -5z) = 3(z + 1)

Reorder the terms:
-6 + -30 + 12z + -5z = 3(z + 1)

Combine like terms: -6 + -30 = -36
-36 + 12z + -5z = 3(z + 1)

Combine like terms: 12z + -5z = 7z
-36 + 7z = 3(z + 1)

Reorder the terms:
-36 + 7z = 3(1 + z)
-36 + 7z = (1 * 3 + z * 3)
-36 + 7z = (3 + 3z)

Solving
-36 + 7z = 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.
-36 + 7z + -3z = 3 + 3z + -3z

Combine like terms: 7z + -3z = 4z
-36 + 4z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-36 + 4z = 3 + 0
-36 + 4z = 3

Add '36' to each side of the equation.
-36 + 36 + 4z = 3 + 36

Combine like terms: -36 + 36 = 0
0 + 4z = 3 + 36
4z = 3 + 36

Combine like terms: 3 + 36 = 39
4z = 39

Divide each side by '4'.
z = 9.75

Simplifying
z = 9.75