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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