a+(a-9)=(a-7)-(a+2)

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Solution for a+(a-9)=(a-7)-(a+2) equation:


Simplifying
a + (a + -9) = (a + -7) + -1(a + 2)

Reorder the terms:
a + (-9 + a) = (a + -7) + -1(a + 2)

Remove parenthesis around (-9 + a)
a + -9 + a = (a + -7) + -1(a + 2)

Reorder the terms:
-9 + a + a = (a + -7) + -1(a + 2)

Combine like terms: a + a = 2a
-9 + 2a = (a + -7) + -1(a + 2)

Reorder the terms:
-9 + 2a = (-7 + a) + -1(a + 2)

Remove parenthesis around (-7 + a)
-9 + 2a = -7 + a + -1(a + 2)

Reorder the terms:
-9 + 2a = -7 + a + -1(2 + a)
-9 + 2a = -7 + a + (2 * -1 + a * -1)
-9 + 2a = -7 + a + (-2 + -1a)

Reorder the terms:
-9 + 2a = -7 + -2 + a + -1a

Combine like terms: -7 + -2 = -9
-9 + 2a = -9 + a + -1a

Combine like terms: a + -1a = 0
-9 + 2a = -9 + 0
-9 + 2a = -9

Add '9' to each side of the equation.
-9 + 9 + 2a = -9 + 9

Combine like terms: -9 + 9 = 0
0 + 2a = -9 + 9
2a = -9 + 9

Combine like terms: -9 + 9 = 0
2a = 0

Solving
2a = 0

Solving for variable 'a'.

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

Divide each side by '2'.
a = 0

Simplifying
a = 0

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