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

4949 is 33 less than twice a number.\newlineFind the unknown number.

Full solution

Q. 4949 is 33 less than twice a number.\newlineFind the unknown number.
  1. Identify Operation & Relationship: Identify the operation and relationship: "33 less than" means subtraction, "twice a number" means 22 times a variable, let's call it xx.
  2. Write Expression for Twice: Write the expression for "twice a number" which is 2x2x.
  3. Subtract 33 from Twice: Subtract 33 from "twice a number" to get "33 less than twice a number", so it's 2x32x - 3.
  4. Set Equation Equal to 4949: Set the expression equal to 4949 to form the equation: 2x3=492x - 3 = 49.
  5. Add 33 to Isolate Term: Add 33 to both sides to isolate the term with the variable: 2x3+3=49+32x - 3 + 3 = 49 + 3.
  6. Simplify Both Sides: Simplify both sides: 2x=522x = 52.
  7. Divide Both Sides: Divide both sides by 22 to solve for x: 2x2=522\frac{2x}{2} = \frac{52}{2}.
  8. Calculate Value of x: Calculate the value of x: x=26x = 26.