a+(a+8)+(a-5)=158

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Solution for a+(a+8)+(a-5)=158 equation:


Simplifying
a + (a + 8) + (a + -5) = 158

Reorder the terms:
a + (8 + a) + (a + -5) = 158

Remove parenthesis around (8 + a)
a + 8 + a + (a + -5) = 158

Reorder the terms:
a + 8 + a + (-5 + a) = 158

Remove parenthesis around (-5 + a)
a + 8 + a + -5 + a = 158

Reorder the terms:
8 + -5 + a + a + a = 158

Combine like terms: 8 + -5 = 3
3 + a + a + a = 158

Combine like terms: a + a = 2a
3 + 2a + a = 158

Combine like terms: 2a + a = 3a
3 + 3a = 158

Solving
3 + 3a = 158

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + -3 + 3a = 158 + -3

Combine like terms: 3 + -3 = 0
0 + 3a = 158 + -3
3a = 158 + -3

Combine like terms: 158 + -3 = 155
3a = 155

Divide each side by '3'.
a = 51.66666667

Simplifying
a = 51.66666667

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