Question

8 times the difference between a number and 6 is equal to 4 times the number.

Answer 1

8(x - 6) = 4x
Distribute.
8x - 48 = 4x
Subtract 8x from both sides.
8x -8x - 48 =4x -8x
Now you have...
-48 = -4x
Divide -4 by both sides.
-48/-4 = -4x/-4
12 = x
The number is 12.

Answer 2

Answer:  12

Step-by-step explanation:

Let the number be x.

Given statement: 8 times the difference between a number and 6 is equal to 4 times the number.

then, the required equation :

$8(x-6)=4x$

Divide both sides by 4 , we gte

$\dfrac{8(x-6)}{4}=\dfrac{4x}{4}$

Simplify

$2(x-6)=x$

Multiply 2 inside the parenthesis.

$2x-12=x$

Subtract x and add 12 on both sides , we gte

$2x-x-12+12=x-x+12$

Simplify

$x=12$

Hence, the number is 12.