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Example 1: Solve 2 x 14 3 2 2 14 2 x 3 3 1 3 2 3 14 3 x 3 2 1 2 6 42 x 6 2 x 21 2 x 14 3 Original equation Divide both sides by 2/3 to isolate the variable. Rewrite as multiplication using the reciprocal of the divisor on both sides. Then, multiply. Cancel out the 6s and reduce 42/2. Solution Example 2: Solve 2 x 1 2x 3 2x 1 2 2 3 1 2x 1 1 2 3 2 2x 1 2 6 1 x 6 1 3 Original equation Divide both sides by 2 to isolate the variable. Rewrite as multiplication using the reciprocal of the divisor on both sides. Then, multiply. Cancel out the 2s. Solution Example 3: Solve 5x 4 6 5x 5 5 4 6 6 6 5x 6 4 6 6 5 1 5 30 x 24 30 5 4 x4 5 5x 4 6 Original equation Divide both sides by 5/6 to isolate the variable. Rewrite as multiplication using the reciprocal of the divisor on both sides. Then, multiply. Cancel out the 30s. And write 24/5 as a mixed number. Solution Try these: Solve the following equations. 3 1.) x 25 5 2 2.) 7 x 5 5y 3.) 6 8 Real-Life Application James spent his Saturday afternoon playing video games. If James 1 won 5 games, which represents of the games that he played, 4 how many games did he play in all? Set up and solve an equation to find the answer.