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With unknowns on both sides, gather the x terms on one side and the constants on the other. That gives (a − c)x = d − b, so x = (d − b)/(a − c).
Multi-step solution
ax + b = cx + d ⇒ x = (d − b) / (a − c)
3x = 15, so x = 5, and both sides equal 28.
The x terms vanish. Either the equation is an identity with infinitely many solutions, or it is contradictory with none.