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

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


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

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

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

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

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

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

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

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

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

Solving
-3 + 5x = 1 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + 5x + -1x = 1 + 1x + -1x

Combine like terms: 5x + -1x = 4x
-3 + 4x = 1 + 1x + -1x

Combine like terms: 1x + -1x = 0
-3 + 4x = 1 + 0
-3 + 4x = 1

Add '3' to each side of the equation.
-3 + 3 + 4x = 1 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 1 + 3
4x = 1 + 3

Combine like terms: 1 + 3 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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