5(8-3z)-1=6(z+4(1-z))

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Solution for 5(8-3z)-1=6(z+4(1-z)) equation: 


Simplifying
5(8 + -3z) + -1 = 6(z + 4(1 + -1z))
(8 * 5 + -3z * 5) + -1 = 6(z + 4(1 + -1z))
(40 + -15z) + -1 = 6(z + 4(1 + -1z))

Reorder the terms:
40 + -1 + -15z = 6(z + 4(1 + -1z))

Combine like terms: 40 + -1 = 39
39 + -15z = 6(z + 4(1 + -1z))
39 + -15z = 6(z + (1 * 4 + -1z * 4))
39 + -15z = 6(z + (4 + -4z))

Reorder the terms:
39 + -15z = 6(4 + z + -4z)

Combine like terms: z + -4z = -3z
39 + -15z = 6(4 + -3z)
39 + -15z = (4 * 6 + -3z * 6)
39 + -15z = (24 + -18z)

Solving
39 + -15z = 24 + -18z

Solving for variable 'z'.

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

Add '18z' to each side of the equation.
39 + -15z + 18z = 24 + -18z + 18z

Combine like terms: -15z + 18z = 3z
39 + 3z = 24 + -18z + 18z

Combine like terms: -18z + 18z = 0
39 + 3z = 24 + 0
39 + 3z = 24

Add '-39' to each side of the equation.
39 + -39 + 3z = 24 + -39

Combine like terms: 39 + -39 = 0
0 + 3z = 24 + -39
3z = 24 + -39

Combine like terms: 24 + -39 = -15
3z = -15

Divide each side by '3'.
z = -5

Simplifying
z = -5

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