6(2z-1)-5(z+9)=2(z+1)

Solution for 6(2z-1)-5(z+9)=2(z+1) equation:

Simplifying
6(2z + -1) + -5(z + 9) = 2(z + 1)

Reorder the terms:
6(-1 + 2z) + -5(z + 9) = 2(z + 1)
(-1 * 6 + 2z * 6) + -5(z + 9) = 2(z + 1)
(-6 + 12z) + -5(z + 9) = 2(z + 1)

Reorder the terms:
-6 + 12z + -5(9 + z) = 2(z + 1)
-6 + 12z + (9 * -5 + z * -5) = 2(z + 1)
-6 + 12z + (-45 + -5z) = 2(z + 1)

Reorder the terms:
-6 + -45 + 12z + -5z = 2(z + 1)

Combine like terms: -6 + -45 = -51
-51 + 12z + -5z = 2(z + 1)

Combine like terms: 12z + -5z = 7z
-51 + 7z = 2(z + 1)

Reorder the terms:
-51 + 7z = 2(1 + z)
-51 + 7z = (1 * 2 + z * 2)
-51 + 7z = (2 + 2z)

Solving
-51 + 7z = 2 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-51 + 7z + -2z = 2 + 2z + -2z

Combine like terms: 7z + -2z = 5z
-51 + 5z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-51 + 5z = 2 + 0
-51 + 5z = 2

Add '51' to each side of the equation.
-51 + 51 + 5z = 2 + 51

Combine like terms: -51 + 51 = 0
0 + 5z = 2 + 51
5z = 2 + 51

Combine like terms: 2 + 51 = 53
5z = 53

Divide each side by '5'.
z = 10.6

Simplifying
z = 10.6