6(2z-1)-5(2+8)=3(2+1)

Solution for 6(2z-1)-5(2+8)=3(2+1) equation:

Simplifying
6(2z + -1) + -5(2 + 8) = 3(2 + 1)

Reorder the terms:
6(-1 + 2z) + -5(2 + 8) = 3(2 + 1)
(-1 * 6 + 2z * 6) + -5(2 + 8) = 3(2 + 1)
(-6 + 12z) + -5(2 + 8) = 3(2 + 1)

Combine like terms: 2 + 8 = 10
-6 + 12z + -5(10) = 3(2 + 1)

Multiply -5 * 10
-6 + 12z + -50 = 3(2 + 1)

Reorder the terms:
-6 + -50 + 12z = 3(2 + 1)

Combine like terms: -6 + -50 = -56
-56 + 12z = 3(2 + 1)

Combine like terms: 2 + 1 = 3
-56 + 12z = 3(3)

Multiply 3 * 3
-56 + 12z = 9

Solving
-56 + 12z = 9

Solving for variable 'z'.

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

Add '56' to each side of the equation.
-56 + 56 + 12z = 9 + 56

Combine like terms: -56 + 56 = 0
0 + 12z = 9 + 56
12z = 9 + 56

Combine like terms: 9 + 56 = 65
12z = 65

Divide each side by '12'.
z = 5.416666667

Simplifying
z = 5.416666667