x+2=3x-3

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


Simplifying
x + 2 = 3x + -3

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

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

Solving
2 + x = -3 + 3x

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
2 + -2x = -3 + 0
2 + -2x = -3

Add '-2' to each side of the equation.
2 + -2 + -2x = -3 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = -3 + -2
-2x = -3 + -2

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

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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