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.
