Forty-eight decrease by a number is the same as the difference of four times the number and seven. Find the number.
Please help me and show your work please and thank you
48-x = 4x - 7
5x = 55
x = 11
48-11 = 37 = 44-7
thank you so much but the answer is 11
To solve this problem, we can set up an equation based on the given information and then solve for the unknown number.
Let's call the unknown number "x".
According to the problem, "Forty-eight decrease by a number" can be written as "48 - x".
And "the difference of four times the number and seven" can be written as "4x - 7".
So, the equation becomes:
48 - x = 4x - 7
To solve the equation, we can start by simplifying both sides:
48 - x + x = 4x - 7 + x
48 = 5x - 7
Next, let's isolate the variable term by adding 7 to both sides:
48 + 7 = 5x - 7 + 7
55 = 5x
To solve for x, we can divide both sides of the equation by 5:
55/5 = 5x/5
11 = x
Therefore, the number is 11.
To check our answer, we can substitute the value of x back into the original equation:
48 - 11 = 4(11) - 7
37 = 44 - 7
37 = 37
Our answer checks out, so the solution is x = 11.