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

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

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

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

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

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

Combine like terms: -3 + -6 = -9
-9 + 18z + -2z = 5(z + 1)

Combine like terms: 18z + -2z = 16z
-9 + 16z = 5(z + 1)

Reorder the terms:
-9 + 16z = 5(1 + z)
-9 + 16z = (1 * 5 + z * 5)
-9 + 16z = (5 + 5z)

Solving
-9 + 16z = 5 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-9 + 16z + -5z = 5 + 5z + -5z

Combine like terms: 16z + -5z = 11z
-9 + 11z = 5 + 5z + -5z

Combine like terms: 5z + -5z = 0
-9 + 11z = 5 + 0
-9 + 11z = 5

Add '9' to each side of the equation.
-9 + 9 + 11z = 5 + 9

Combine like terms: -9 + 9 = 0
0 + 11z = 5 + 9
11z = 5 + 9

Combine like terms: 5 + 9 = 14
11z = 14

Divide each side by '11'.
z = 1.272727273

Simplifying
z = 1.272727273