Abs(x+2)+abs(x-3)=7

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Solution for Abs(x+2)+abs(x-3)=7 equation:


Simplifying
Abs(x + 2) + abs(x + -3) = 7

Reorder the terms:
bsA(2 + x) + abs(x + -3) = 7
(2 * bsA + x * bsA) + abs(x + -3) = 7
(2bsA + bsxA) + abs(x + -3) = 7

Reorder the terms:
2bsA + bsxA + abs(-3 + x) = 7
2bsA + bsxA + (-3 * abs + x * abs) = 7
2bsA + bsxA + (-3abs + absx) = 7

Reorder the terms:
-3abs + absx + 2bsA + bsxA = 7

Solving
-3abs + absx + 2bsA + bsxA = 7

Solving for variable 'a'.

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

Add '-2bsA' to each side of the equation.
-3abs + absx + 2bsA + -2bsA + bsxA = 7 + -2bsA

Combine like terms: 2bsA + -2bsA = 0
-3abs + absx + 0 + bsxA = 7 + -2bsA
-3abs + absx + bsxA = 7 + -2bsA

Add '-1bsxA' to each side of the equation.
-3abs + absx + bsxA + -1bsxA = 7 + -2bsA + -1bsxA

Combine like terms: bsxA + -1bsxA = 0
-3abs + absx + 0 = 7 + -2bsA + -1bsxA
-3abs + absx = 7 + -2bsA + -1bsxA

Reorder the terms:
-7 + -3abs + absx + 2bsA + bsxA = 7 + -2bsA + -1bsxA + -7 + 2bsA + bsxA

Reorder the terms:
-7 + -3abs + absx + 2bsA + bsxA = 7 + -7 + -2bsA + 2bsA + -1bsxA + bsxA

Combine like terms: 7 + -7 = 0
-7 + -3abs + absx + 2bsA + bsxA = 0 + -2bsA + 2bsA + -1bsxA + bsxA
-7 + -3abs + absx + 2bsA + bsxA = -2bsA + 2bsA + -1bsxA + bsxA

Combine like terms: -2bsA + 2bsA = 0
-7 + -3abs + absx + 2bsA + bsxA = 0 + -1bsxA + bsxA
-7 + -3abs + absx + 2bsA + bsxA = -1bsxA + bsxA

Combine like terms: -1bsxA + bsxA = 0
-7 + -3abs + absx + 2bsA + bsxA = 0

The solution to this equation could not be determined.

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