if two times a number is added to 6 equals 4 times a number plus 12 what is the number

Answer 1

1.) Translate word problem into math. Whenever you see "a number" write "x".

2x+6=4x+12

2.) Move the variables onto the same side. Here, I subtracted 2x from the left side and the right side.

6=2x+12

3.) Move the non-variable numbers onto the same side. Here, I substracted 12 from both sides. (note that the 6 on the left side becomes a negative 6).

-6=2x

4.) Solve by dividing both sides by 2

-3=x

Answer 2

if two times a number

2x

is added to 6

2x + 6

equals

2x + 6 =

4 times a number

2x + 6 = 4x

plus 12

2x + 6 = 4x + 12

what is the number?

We need to group x terms on one side and constants on one side

2x + 6 = 4x + 12 (Add -6 to both sides)

2x = 4x + 6 (Add -4x to both sides)

-2x = 6 (Divide both sides by -2)

x = -3