(3z+5)+(2z-10)+90=180

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Solution for (3z+5)+(2z-10)+90=180 equation: 


Simplifying
(3z + 5) + (2z + -10) + 90 = 180

Reorder the terms:
(5 + 3z) + (2z + -10) + 90 = 180

Remove parenthesis around (5 + 3z)
5 + 3z + (2z + -10) + 90 = 180

Reorder the terms:
5 + 3z + (-10 + 2z) + 90 = 180

Remove parenthesis around (-10 + 2z)
5 + 3z + -10 + 2z + 90 = 180

Reorder the terms:
5 + -10 + 90 + 3z + 2z = 180

Combine like terms: 5 + -10 = -5
-5 + 90 + 3z + 2z = 180

Combine like terms: -5 + 90 = 85
85 + 3z + 2z = 180

Combine like terms: 3z + 2z = 5z
85 + 5z = 180

Solving
85 + 5z = 180

Solving for variable 'z'.

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

Add '-85' to each side of the equation.
85 + -85 + 5z = 180 + -85

Combine like terms: 85 + -85 = 0
0 + 5z = 180 + -85
5z = 180 + -85

Combine like terms: 180 + -85 = 95
5z = 95

Divide each side by '5'.
z = 19

Simplifying
z = 19

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