Questions: Solve. Even though you might find the answer quickly in another way, use the five-step process in order to build the skill of problem solving. 9. Three less than twice a number is 19 . What is the number?

Solve. Even though you might find the answer quickly in another way, use the five-step process in order to build the skill of problem solving.
9. Three less than twice a number is 19 . What is the number?
Transcript text: Solve. Even though you might find the answer quickly in another way, use the five-step process in order to build the skill of problem solving. 9. Three less than twice a number is 19 . What is the number?
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Solution

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Solution Steps

To solve the equation "Three less than twice a number is 19," we can set up an algebraic equation. Let the unknown number be \( x \). According to the problem, twice the number minus three equals 19. We can express this as the equation \( 2x - 3 = 19 \). The solution involves solving this linear equation for \( x \).

Step 1: Define the Variable

Let \( x \) be the unknown number we need to find.

Step 2: Set Up the Equation

According to the problem, "Three less than twice a number is 19" can be expressed as the equation: \[ 2x - 3 = 19 \]

Step 3: Solve the Equation

To find \( x \), we solve the equation: \[ 2x - 3 = 19 \]

Add 3 to both sides: \[ 2x = 22 \]

Divide both sides by 2: \[ x = 11 \]

Final Answer

\(\boxed{x = 11}\)

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