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

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


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

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

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

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

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

Solving
3 + 2x = 1 + x

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 + 2x + -1x = 1 + x + -1x

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

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

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

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

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

Divide each side by '1'.
x = -2

Simplifying
x = -2

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