a+(a+24)+(2a-38)=554

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Solution for a+(a+24)+(2a-38)=554 equation: 


Simplifying
a + (a + 24) + (2a + -38) = 554

Reorder the terms:
a + (24 + a) + (2a + -38) = 554

Remove parenthesis around (24 + a)
a + 24 + a + (2a + -38) = 554

Reorder the terms:
a + 24 + a + (-38 + 2a) = 554

Remove parenthesis around (-38 + 2a)
a + 24 + a + -38 + 2a = 554

Reorder the terms:
24 + -38 + a + a + 2a = 554

Combine like terms: 24 + -38 = -14
-14 + a + a + 2a = 554

Combine like terms: a + a = 2a
-14 + 2a + 2a = 554

Combine like terms: 2a + 2a = 4a
-14 + 4a = 554

Solving
-14 + 4a = 554

Solving for variable 'a'.

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

Add '14' to each side of the equation.
-14 + 14 + 4a = 554 + 14

Combine like terms: -14 + 14 = 0
0 + 4a = 554 + 14
4a = 554 + 14

Combine like terms: 554 + 14 = 568
4a = 568

Divide each side by '4'.
a = 142

Simplifying
a = 142

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