Solving an equation with variables on both side and one solution

The video tutorial explains how to solve equations with variables on both sides. It discusses the possible outcomes of such equations: no solution, one solution, or infinitely many solutions. The instructor emphasizes the importance of isolating the variable and suggests eliminating the smaller variable to avoid negative numbers. A step-by-step example is provided, demonstrating how to solve the equation 3X + 4 = 5X - 10, resulting in a single solution, X = 7.

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