When it says "eight less than twice a number is 12 more than four times the number" will its equation
Be, 2n-8=4n+12? And if that is true how could I solve it?
yes
add -2n to both sides
-8 = 2 n + 12
add -12 to both sides
-20 = 2 n
divide both sides by 2
-10 = n
then check
2(-10) - 8 = 4 (-10) + 12 ???
-20 -8 = -40 + 12 ???
-28 = -28 Hey it worked !
Would the answer be -10?
yes :)
Yes, the equation for the given statement, "eight less than twice a number is 12 more than four times the number," is 2n - 8 = 4n + 12. To solve this equation, follow these steps:
Step 1: Simplify both sides of the equation by combining like terms.
2n - 8 = 4n + 12
Step 2: Bring all the terms with variables to one side and constants to the other side.
2n - 4n = 12 + 8
Step 3: Combine like terms again.
-2n = 20
Step 4: Divide both sides of the equation by -2 to isolate the variable n.
n = 20/-2
Step 5: Simplify the division.
n = -10
Therefore, the solution to the equation is n = -10.