To solve for x in the equation 1/4 = 2x + 14 – 4, let’s first simplify the equation step by step.
1. Start by simplifying the right side:
2x + 14 – 4 = 2x + 10.
Now our equation looks like this:
1/4 = 2x + 10.
2. Next, we want to isolate the term with x. To do that, subtract 10 from both sides:
1/4 – 10 = 2x.
3. Now, let’s convert 10 into a fraction so we can combine the numbers easily:
10 = 40/4.
So, 1/4 – 40/4 = -39/4.
4. Our equation now is:
-39/4 = 2x.
5. To solve for x, divide both sides by 2:
-39/4 ÷ 2 = x.
This can be rewritten as:
-39/4 * 1/2 = x.
This gives us:
-39/8 = x.
6. Finally, we find that:
x = -39/8.
In conclusion, the solution to the equation 1/4 = 2x + 14 – 4 is x = -39/8.