Question

The sum of twice a number and half the number is ten

Answer 1

Answer:

Step-by-step explanation:

2x + x/2 = 10           multiply by 2

4x + x = 20              Combine the left

5x = 20                    Divide by 5

x = 20/5

x = 4

Answer 2

Answer:

4

Step-by-step explanation:

Let x equal the unknown number.

Sum means we're dealing with addition.

Twice and half means we're dealing with multiplication (and/or divison).

Written out, the sum of 2 times some number (x) PLUS half that same number (x) is equal to 10.

So, lets put 10 on one side:

10 = some equation

Put the variables on the other side:

some number = 2x + .5x

Set them equal to each other and solve algebraically:

10 = 2x + .5x

Combine like terms: 2x and .5x

10 = 2.5x

Divide both sides by 2.5x

4 = x

Final answer:

x = 4

Hope this helps!