If 5 + 3x = 20, what is the value of x?

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To solve the equation (5 + 3x = 20), we begin by isolating the term that contains (x).

First, subtract 5 from both sides of the equation to eliminate the constant on the left side:

[ 5 + 3x - 5 = 20 - 5 ]

This simplifies to:

[ 3x = 15 ]

Next, to solve for (x), divide both sides by 3:

[ x = \frac{15}{3} ]

Calculating the right side gives us:

[ x = 5 ]

This value of (x) satisfies the original equation, confirming that it is correct. To verify, substitute back into the original equation:

[ 5 + 3(5) = 5 + 15 = 20 ]

Since both sides of the equation equal 20, the solution (x = 5) is validated, making it the correct answer.

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