2-x+3=3x+2

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


Simplifying
2 + -1x + 3 = 3x + 2

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

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

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

Solving
5 + -1x = 2 + 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.
5 + -1x + -3x = 2 + 3x + -3x

Combine like terms: -1x + -3x = -4x
5 + -4x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -4x = 2 + 0
5 + -4x = 2

Add '-5' to each side of the equation.
5 + -5 + -4x = 2 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 2 + -5
-4x = 2 + -5

Combine like terms: 2 + -5 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

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