When 8 is added to 3times a certain number, the result is the same as adding 12 to twice the number. find the number

The number is 4

Step-by-step explanation:

Choose a variable for the number.

let the number be "x"

Make an equation with the information from the problem. Break down each part of the problem and change it to the algebraic form (numbers and symbols).

"When 8 is added to"               8 +  

"3 times a certain number"       3x

"the result is the same as"         =

"adding 12 to"                            12 +

"twice the number"                   2x

Put the equation back together with each of the parts.

8 + 3x = 12 + 2x

Now isolate "x" to the left side to find the number.

8 + 3x - 2x = 12 + 2x - 2x       Subtract 2x from both sides

8 + x = 12                           "x" is only on the left side

8 - 8 + x = 12 - 8                Subtract 8 from both sides

x = 4                             Solved for the number

Therefore the number is 4.