a+(a-4)=(a-9)-(a+1)

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Solution for a+(a-4)=(a-9)-(a+1) equation: 


Simplifying
a + (a + -4) = (a + -9) + -1(a + 1)

Reorder the terms:
a + (-4 + a) = (a + -9) + -1(a + 1)

Remove parenthesis around (-4 + a)
a + -4 + a = (a + -9) + -1(a + 1)

Reorder the terms:
-4 + a + a = (a + -9) + -1(a + 1)

Combine like terms: a + a = 2a
-4 + 2a = (a + -9) + -1(a + 1)

Reorder the terms:
-4 + 2a = (-9 + a) + -1(a + 1)

Remove parenthesis around (-9 + a)
-4 + 2a = -9 + a + -1(a + 1)

Reorder the terms:
-4 + 2a = -9 + a + -1(1 + a)
-4 + 2a = -9 + a + (1 * -1 + a * -1)
-4 + 2a = -9 + a + (-1 + -1a)

Reorder the terms:
-4 + 2a = -9 + -1 + a + -1a

Combine like terms: -9 + -1 = -10
-4 + 2a = -10 + a + -1a

Combine like terms: a + -1a = 0
-4 + 2a = -10 + 0
-4 + 2a = -10

Solving
-4 + 2a = -10

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + 4 + 2a = -10 + 4

Combine like terms: -4 + 4 = 0
0 + 2a = -10 + 4
2a = -10 + 4

Combine like terms: -10 + 4 = -6
2a = -6

Divide each side by '2'.
a = -3

Simplifying
a = -3

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