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

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


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

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

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

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

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

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

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

Combine like terms: 5 + -5 = 0
0 + 3x = 5 + -5 + 1x
3x = 5 + -5 + 1x

Combine like terms: 5 + -5 = 0
3x = 0 + 1x
3x = 1x

Solving
3x = 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.
3x + -1x = 1x + -1x

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

Combine like terms: 1x + -1x = 0
2x = 0

Divide each side by '2'.
x = 0

Simplifying
x = 0

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