Simplifying

5x + 2 = 3x


Reorder the terms:

2 + 5x = 3x


Solving

2 + 5x = 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 + 5x + -3x = 3x + -3x


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

2 + 2x = 3x + -3x


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

2 + 2x = 0


Add '-2' to each side of the equation.

2 + -2 + 2x = 0 + -2


Combine like terms: 2 + -2 = 0

0 + 2x = 0 + -2

2x = 0 + -2


Combine like terms: 0 + -2 = -2

2x = -2


Divide each side by '2'.

x = -1


Simplifying

x = -1

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