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

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


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

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

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

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

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

Combine like terms: 3 + 5 = 8
-5 + 2x = 8 + -1x + -1x

Combine like terms: -1x + -1x = -2x
-5 + 2x = 8 + -2x

Solving
-5 + 2x = 8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-5 + 2x + 2x = 8 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-5 + 4x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 4x = 8 + 0
-5 + 4x = 8

Add '5' to each side of the equation.
-5 + 5 + 4x = 8 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 8 + 5
4x = 8 + 5

Combine like terms: 8 + 5 = 13
4x = 13

Divide each side by '4'.
x = 3.25

Simplifying
x = 3.25

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