a+(a-4)=(a+5)-(a+2)

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Solution for a+(a-4)=(a+5)-(a+2) equation:


Simplifying
a + (a + -4) = (a + 5) + -1(a + 2)

Reorder the terms:
a + (-4 + a) = (a + 5) + -1(a + 2)

Remove parenthesis around (-4 + a)
a + -4 + a = (a + 5) + -1(a + 2)

Reorder the terms:
-4 + a + a = (a + 5) + -1(a + 2)

Combine like terms: a + a = 2a
-4 + 2a = (a + 5) + -1(a + 2)

Reorder the terms:
-4 + 2a = (5 + a) + -1(a + 2)

Remove parenthesis around (5 + a)
-4 + 2a = 5 + a + -1(a + 2)

Reorder the terms:
-4 + 2a = 5 + a + -1(2 + a)
-4 + 2a = 5 + a + (2 * -1 + a * -1)
-4 + 2a = 5 + a + (-2 + -1a)

Reorder the terms:
-4 + 2a = 5 + -2 + a + -1a

Combine like terms: 5 + -2 = 3
-4 + 2a = 3 + a + -1a

Combine like terms: a + -1a = 0
-4 + 2a = 3 + 0
-4 + 2a = 3

Solving
-4 + 2a = 3

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 = 3 + 4

Combine like terms: -4 + 4 = 0
0 + 2a = 3 + 4
2a = 3 + 4

Combine like terms: 3 + 4 = 7
2a = 7

Divide each side by '2'.
a = 3.5

Simplifying
a = 3.5

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