Question

Translate the following into algebraic equation and solve: Twice the sum of a number and five is equal to 40.

Answer 1

Let:

x = Unknown number

Twice the sum of a number and five:

`2(x+5)`

Is equal to 40:

`2(x+5)=40`

Solve for x:

Expand the left hand side using distributive property:

`2x+10=40`

Subtract 10 from both sides:

`2x=30`

Divide both sides by 2:

`x=15`