(3z+4)+(10z-5)+90=180

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Solution for (3z+4)+(10z-5)+90=180 equation:


Simplifying
(3z + 4) + (10z + -5) + 90 = 180

Reorder the terms:
(4 + 3z) + (10z + -5) + 90 = 180

Remove parenthesis around (4 + 3z)
4 + 3z + (10z + -5) + 90 = 180

Reorder the terms:
4 + 3z + (-5 + 10z) + 90 = 180

Remove parenthesis around (-5 + 10z)
4 + 3z + -5 + 10z + 90 = 180

Reorder the terms:
4 + -5 + 90 + 3z + 10z = 180

Combine like terms: 4 + -5 = -1
-1 + 90 + 3z + 10z = 180

Combine like terms: -1 + 90 = 89
89 + 3z + 10z = 180

Combine like terms: 3z + 10z = 13z
89 + 13z = 180

Solving
89 + 13z = 180

Solving for variable 'z'.

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

Add '-89' to each side of the equation.
89 + -89 + 13z = 180 + -89

Combine like terms: 89 + -89 = 0
0 + 13z = 180 + -89
13z = 180 + -89

Combine like terms: 180 + -89 = 91
13z = 91

Divide each side by '13'.
z = 7

Simplifying
z = 7

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