A+(A-3)=(A-5)-(A+2)

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Solution for A+(A-3)=(A-5)-(A+2) equation: 


Simplifying
A + (A + -3) = (A + -5) + -1(A + 2)

Reorder the terms:
A + (-3 + A) = (A + -5) + -1(A + 2)

Remove parenthesis around (-3 + A)
A + -3 + A = (A + -5) + -1(A + 2)

Reorder the terms:
-3 + A + A = (A + -5) + -1(A + 2)

Combine like terms: A + A = 2A
-3 + 2A = (A + -5) + -1(A + 2)

Reorder the terms:
-3 + 2A = (-5 + A) + -1(A + 2)

Remove parenthesis around (-5 + A)
-3 + 2A = -5 + A + -1(A + 2)

Reorder the terms:
-3 + 2A = -5 + A + -1(2 + A)
-3 + 2A = -5 + A + (2 * -1 + A * -1)
-3 + 2A = -5 + A + (-2 + -1A)

Reorder the terms:
-3 + 2A = -5 + -2 + A + -1A

Combine like terms: -5 + -2 = -7
-3 + 2A = -7 + A + -1A

Combine like terms: A + -1A = 0
-3 + 2A = -7 + 0
-3 + 2A = -7

Solving
-3 + 2A = -7

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 + 2A = -7 + 3

Combine like terms: -3 + 3 = 0
0 + 2A = -7 + 3
2A = -7 + 3

Combine like terms: -7 + 3 = -4
2A = -4

Divide each side by '2'.
A = -2

Simplifying
A = -2

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