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

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


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

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

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

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

Combine like terms: -2 + -3 = -5
-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 'x' to each side of the equation.
3x + x = -1x + x

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

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

Divide each side by '4'.
x = 0

Simplifying
x = 0

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