"Four minus six times a number equals twelve"
six times a number ... 6x
four minus 6x ... 4-6x
now finish it off
oh.
To solve the equation "Four minus six times a number equals twelve," we can follow these steps:
Step 1: Let's start by representing the unknown number with a variable. Let's use the variable "x" to represent the number.
Step 2: Translate the sentence into an equation. "Four minus six times a number" can be written as 4 - 6x.
Step 3: According to the equation, this expression equals twelve. So we can write the equation as follows: 4 - 6x = 12.
Step 4: Now, we need to isolate the variable on one side of the equation. We can do this by using inverse operations to move terms. Let's add 6x to both sides of the equation.
4 - 6x + 6x = 12 + 6x
Simplifying the equation, we get: 4 = 12 + 6x
Step 5: Next, let's isolate the constant term by subtracting 12 from both sides:
4 - 12 = 12 + 6x - 12
Simplifying, we have: -8 = 6x
Step 6: To solve for x, divide both sides of the equation by 6:
-8/6 = 6x/6
This simplifies to: -4/3 = x or x = -4/3.
Therefore, the solution to the equation is x = -4/3.
To solve the equation "Four minus six times a number equals twelve," we need to isolate the variable (the unknown number). Here's how you can go about solving it step by step:
1. Start by writing the equation: 4 - 6x = 12, where x represents the unknown number.
2. To get rid of the constant term (4) on the left side of the equation, we can add 4 to both sides: 4 - 6x + 4 = 12 + 4. Simplifying this gives us: -6x = 16.
3. Next, we want to isolate the variable term. Since -6 is multiplied by x, we need to divide both sides of the equation by -6: (-6x) / -6 = 16 / -6. This simplifies to: x = -16 / 6.
4. The fraction -16/6 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. We obtain: x = -8/3.
So, the solution to the equation "Four minus six times a number equals twelve" is x = -8/3.