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Question
Solve the following equation.
5(x − 3) = 3(x + 2)
Solution
5(x − 3) = 3(x + 2)
⇒ 5x − 15 = 3x + 6
Adding 15 to both sides
⇒ 5x − 15 + 15 = 3x + 6 + 15
⇒ 5x = 3x + 21
Subtracting 3x from both sides
⇒ 5x − 3x = 3x + 21 − 3x
⇒ 2x = 21
Dividing both sides by 2
⇒ `(2"x")/2 = 21/2`
⇒ x = `21/2`
Hence, x = `21/2` is the solution of the equation.
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