-[5z-(15z+5)]=5+(9z+9)

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Solution for -[5z-(15z+5)]=5+(9z+9) equation:


Simplifying
-1[5z + -1(15z + 5)] = 5 + (9z + 9)

Reorder the terms:
-1[5z + -1(5 + 15z)] = 5 + (9z + 9)
-1[5z + (5 * -1 + 15z * -1)] = 5 + (9z + 9)
-1[5z + (-5 + -15z)] = 5 + (9z + 9)

Reorder the terms:
-1[-5 + 5z + -15z] = 5 + (9z + 9)

Combine like terms: 5z + -15z = -10z
-1[-5 + -10z] = 5 + (9z + 9)
[-5 * -1 + -10z * -1] = 5 + (9z + 9)
[5 + 10z] = 5 + (9z + 9)

Reorder the terms:
5 + 10z = 5 + (9 + 9z)

Remove parenthesis around (9 + 9z)
5 + 10z = 5 + 9 + 9z

Combine like terms: 5 + 9 = 14
5 + 10z = 14 + 9z

Solving
5 + 10z = 14 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
5 + 10z + -9z = 14 + 9z + -9z

Combine like terms: 10z + -9z = 1z
5 + 1z = 14 + 9z + -9z

Combine like terms: 9z + -9z = 0
5 + 1z = 14 + 0
5 + 1z = 14

Add '-5' to each side of the equation.
5 + -5 + 1z = 14 + -5

Combine like terms: 5 + -5 = 0
0 + 1z = 14 + -5
1z = 14 + -5

Combine like terms: 14 + -5 = 9
1z = 9

Divide each side by '1'.
z = 9

Simplifying
z = 9

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