6(3z-1)-5(z+7)=2(z+1)

Solution for 6(3z-1)-5(z+7)=2(z+1) equation:

Simplifying
6(3z + -1) + -5(z + 7) = 2(z + 1)

Reorder the terms:
6(-1 + 3z) + -5(z + 7) = 2(z + 1)
(-1 * 6 + 3z * 6) + -5(z + 7) = 2(z + 1)
(-6 + 18z) + -5(z + 7) = 2(z + 1)

Reorder the terms:
-6 + 18z + -5(7 + z) = 2(z + 1)
-6 + 18z + (7 * -5 + z * -5) = 2(z + 1)
-6 + 18z + (-35 + -5z) = 2(z + 1)

Reorder the terms:
-6 + -35 + 18z + -5z = 2(z + 1)

Combine like terms: -6 + -35 = -41
-41 + 18z + -5z = 2(z + 1)

Combine like terms: 18z + -5z = 13z
-41 + 13z = 2(z + 1)

Reorder the terms:
-41 + 13z = 2(1 + z)
-41 + 13z = (1 * 2 + z * 2)
-41 + 13z = (2 + 2z)

Solving
-41 + 13z = 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.
-41 + 13z + -2z = 2 + 2z + -2z

Combine like terms: 13z + -2z = 11z
-41 + 11z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-41 + 11z = 2 + 0
-41 + 11z = 2

Add '41' to each side of the equation.
-41 + 41 + 11z = 2 + 41

Combine like terms: -41 + 41 = 0
0 + 11z = 2 + 41
11z = 2 + 41

Combine like terms: 2 + 41 = 43
11z = 43

Divide each side by '11'.
z = 3.909090909

Simplifying
z = 3.909090909