(5x+3)-(2x-8)=(5x+3)+(-2x+8)

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Solution for (5x+3)-(2x-8)=(5x+3)+(-2x+8) equation: 


Simplifying
(5x + 3) + -1(2x + -8) = (5x + 3) + (-2x + 8)

Reorder the terms:
(3 + 5x) + -1(2x + -8) = (5x + 3) + (-2x + 8)

Remove parenthesis around (3 + 5x)
3 + 5x + -1(2x + -8) = (5x + 3) + (-2x + 8)

Reorder the terms:
3 + 5x + -1(-8 + 2x) = (5x + 3) + (-2x + 8)
3 + 5x + (-8 * -1 + 2x * -1) = (5x + 3) + (-2x + 8)
3 + 5x + (8 + -2x) = (5x + 3) + (-2x + 8)

Reorder the terms:
3 + 8 + 5x + -2x = (5x + 3) + (-2x + 8)

Combine like terms: 3 + 8 = 11
11 + 5x + -2x = (5x + 3) + (-2x + 8)

Combine like terms: 5x + -2x = 3x
11 + 3x = (5x + 3) + (-2x + 8)

Reorder the terms:
11 + 3x = (3 + 5x) + (-2x + 8)

Remove parenthesis around (3 + 5x)
11 + 3x = 3 + 5x + (-2x + 8)

Reorder the terms:
11 + 3x = 3 + 5x + (8 + -2x)

Remove parenthesis around (8 + -2x)
11 + 3x = 3 + 5x + 8 + -2x

Reorder the terms:
11 + 3x = 3 + 8 + 5x + -2x

Combine like terms: 3 + 8 = 11
11 + 3x = 11 + 5x + -2x

Combine like terms: 5x + -2x = 3x
11 + 3x = 11 + 3x

Add '-11' to each side of the equation.
11 + -11 + 3x = 11 + -11 + 3x

Combine like terms: 11 + -11 = 0
0 + 3x = 11 + -11 + 3x
3x = 11 + -11 + 3x

Combine like terms: 11 + -11 = 0
3x = 0 + 3x
3x = 3x

Add '-3x' to each side of the equation.
3x + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
0 = 3x + -3x

Combine like terms: 3x + -3x = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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