What is the solution to the equation 3x + 5 = 20?

What is the solution to the equation 3x + 5 = 20?

• A. x = 3
• B. x = 5
• C. x = 7
• D. x = 10

Answer: (B)

To find the solution to the equation 3x + 5 = 20, we follow these steps: 1. Subtract 5 from both sides of the equation to isolate the term containing x: \( 3x + 5 - 5 = 20 - 5 \) This simplifies to: \( 3x = 15 \) 2. Now, divide both sides by 3 to solve for x: \( \frac{3x}{3} = \frac{15}{3} \) This results in: \( x = 5 \) The value x = 5 satisfies the original equation when substituted back in, since: \( 3(5) + 5 = 15 + 5 = 20 \). This confirms that x = 5 is indeed the correct solution to the equation. Understanding the steps of isolating the variable and performing operations correctly is crucial in solving linear equations like this one.

To find the solution to the equation 3x + 5 = 20, we follow these steps:

1. Subtract 5 from both sides of the equation to isolate the term containing x:

( 3x + 5 - 5 = 20 - 5 )

This simplifies to:

( 3x = 15 )

2. Now, divide both sides by 3 to solve for x:

( \frac{3x}{3} = \frac{15}{3} )

This results in:

( x = 5 )

The value x = 5 satisfies the original equation when substituted back in, since:

( 3(5) + 5 = 15 + 5 = 20 ).

This confirms that x = 5 is indeed the correct solution to the equation. Understanding the steps of isolating the variable and performing operations correctly is crucial in solving linear equations like this one.