Answer:
Please check the explanation.
Step-by-step explanation:
Given the verbal expression
''Thirteen less than twice the sum of a number and six is 47''.
Let us break down the verbal expression into an algebraic equation
- Let the number be = n
- Twice the number n = 2n
- Sum of twice the number and six = 2n+6
- Thirteen less than twice the sum of a number and six = 2n+6-13
And finally
Thirteen less than twice the sum of a number and six is 47:
2n+6-13 = 47
Therefore, the equation is:
Solving the algebraic expression
solving the equation for 'n'
Add 7 to both sides
Simplify
Divide both sides by 2
Simplify