6(z-(8z+19)+5)=3(z+2)

Solution for 6(z-(8z+19)+5)=3(z+2) equation:

Simplifying
6(z + -1(8z + 19) + 5) = 3(z + 2)

Reorder the terms:
6(z + -1(19 + 8z) + 5) = 3(z + 2)
6(z + (19 * -1 + 8z * -1) + 5) = 3(z + 2)
6(z + (-19 + -8z) + 5) = 3(z + 2)

Reorder the terms:
6(-19 + 5 + z + -8z) = 3(z + 2)

Combine like terms: -19 + 5 = -14
6(-14 + z + -8z) = 3(z + 2)

Combine like terms: z + -8z = -7z
6(-14 + -7z) = 3(z + 2)
(-14 * 6 + -7z * 6) = 3(z + 2)
(-84 + -42z) = 3(z + 2)

Reorder the terms:
-84 + -42z = 3(2 + z)
-84 + -42z = (2 * 3 + z * 3)
-84 + -42z = (6 + 3z)

Solving
-84 + -42z = 6 + 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.
-84 + -42z + -3z = 6 + 3z + -3z

Combine like terms: -42z + -3z = -45z
-84 + -45z = 6 + 3z + -3z

Combine like terms: 3z + -3z = 0
-84 + -45z = 6 + 0
-84 + -45z = 6

Add '84' to each side of the equation.
-84 + 84 + -45z = 6 + 84

Combine like terms: -84 + 84 = 0
0 + -45z = 6 + 84
-45z = 6 + 84

Combine like terms: 6 + 84 = 90
-45z = 90

Divide each side by '-45'.
z = -2

Simplifying
z = -2