Two more than four times a number minus 3 is the same as 12 times the number plus 3. Find the number
2 + 4n - 3 = 12n + 3
2 = 8n
2/8 = 1/4 = n
2 + 4n - 3 = 12n + 3
2 - 3 - 3 = 12n - 4n
-4 = 8n
n = -1/2
I dont see how the two sides are equal. Please explain
Sorry, just figured it out. I put it in decimal form. Thanks Ms. Sue!
Reiny is right. I goofed.
To solve this equation, let's assume the number as "x". We can then translate the given statement into an equation and solve for x.
The given statement: "Two more than four times a number minus 3 is the same as 12 times the number plus 3."
Translating this into an equation:
4x + 2 - 3 = 12x + 3
Let's simplify the equation step by step:
First, combine like terms on both sides of the equation:
4x - 1 = 12x + 3
Next, let's isolate the x-terms on one side and the constant terms on the other side of the equation. To do this, we'll subtract 4x from both sides:
-1 = 12x - 4x + 3
Simplifying further:
-1 = 8x + 3
Now, let's isolate the variable x, so we'll subtract 3 from both sides of the equation:
-1 - 3 = 8x + 3 - 3
Simplifying further:
-4 = 8x
To solve for x, divide both sides of the equation by 8:
-4/8 = 8x/8
Simplifying further:
-1/2 = x
Therefore, the number we are looking for is -1/2 or -0.5.