two subtracted from twice a number is the same as four times the number plus six

Question

how do you do this problem? please tell me the answer.

 

Answer 1

Let x=the number

 

Translate:

 "two subtracted from twice a number is the same as four times the number plus six"  means

        -2               +         2 *   x          =                    4    *              x         +     6

 

We would normally write the subtraction second, so

        2x - 2 = 4x + 6

 

The math:

       2x - 2 = 4x + 6

       -2x -2 = 6                [subtract 4x from both sides]

        -2x = 8                   [add 2 to both siees]

          x = -4                [divide both sides by (-2)]

 

Check:

    Is   2(-4) - 2 = 4(-4) + 6   ?

           -8 -2 = -16 + 6   ?

             -10 = -10   ?yes

Answer 2

You start by writing the problem as a math equation.

Define the unknown number as "x"

 

two subtracted from twice a number, 2x - 2

 

is the same (=) as four times the number plus six, 4x + 6

so we have;

 

2x - 2 = 4x + 6

 

Then solve for the unknown number, x

 

2x - 2 = 4x + 6

2x - 2 - 6 = 4x

2x - 8 = 4x

-8 = 4x - 2x

-8 = 2x

-4 = x

Answer 3

Hi Oscar

 

Take this problem phrase by phrase.  The words will tell you just what operations are necessary.

 

If X is the number

Two subtracted from twice a number is 2X-2

Four times the number plus six is 4X+6

 

Since they are the same, they are equal, so,

 

2X-2 = 4X+6 

 

Solving for X,

Add 2 to both sides, leaving

2X = 4X + 8

 

Subtract 4X from both sides

-2X = 8

 

Divide by -2

X = -4