49 is 3 less than twice a number. Find the unknown number.

Identify Operation & Relationship: Identify the operation and relationship: ＂3 less than＂ means subtraction, ＂twice a number＂ means 2 times a variable, let's call it x.Write Expression for Twice: Write the expression for ＂twice a number＂ which is 2x.Subtract 3 from Twice: Subtract 3 from ＂twice a number＂ to get ＂3 less than twice a number＂, so it's 2x - 3.Set Equation Equal to 49: Set the expression equal to 49 to form the equation: 2x - 3 = 49.Add 3 to Isolate Term: Add 3 to both sides to isolate the term with the variable: 2x - 3 + 3 = 49 + 3.Simplify Both Sides: Simplify both sides: 2x = 52.Divide Both Sides: Divide both sides by 2 to solve for x: 2x / 2 = 52 / 2.Calculate Value of x: Calculate the value of x: x = 26.

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49 is 3 less than twice a number.
Find the unknown number.

$49$ is $3$ less than twice a number. $\newline$ Find the unknown number.

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Math Problems

Grade 6

Write an equation from words

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49

3

less than twice a number.

\newline

Find the unknown number.

Identify Operation & Relationship: Identify the operation and relationship: ＂ $3$ less than＂ means subtraction, ＂twice a number＂ means $2$ times a variable, let's call it $x$ .
Write Expression for Twice: Write the expression for ＂twice a number＂ which is $2x$ .
Subtract $3$ from Twice: Subtract $3$ from ＂twice a number＂ to get ＂ $3$ less than twice a number＂, so it's $2x - 3$ .
Set Equation Equal to $49$ : Set the expression equal to $49$ to form the equation: $2x - 3 = 49$ .
Add $3$ to Isolate Term: Add $3$ to both sides to isolate the term with the variable: $2x - 3 + 3 = 49 + 3$ .
Simplify Both Sides: Simplify both sides: $2x = 52$ .
Divide Both Sides: Divide both sides by $2$ to solve for x: $\frac{2x}{2} = \frac{52}{2}$ .
Calculate Value of x: Calculate the value of x: $x = 26$ .