Question

1. what is the equation (\frac{x - 1}{4}=7) in terms of (x)?

Explanation:

Step1: Start with the given equation

We have the equation $\frac{8 - x}{4} = 7$.

Step2: Multiply both sides by 4

To eliminate the denominator, multiply each side of the equation by 4. So we get $4\times\frac{8 - x}{4}=7\times4$, which simplifies to $8 - x = 28$.

Step3: Solve for x

Subtract 8 from both sides: $8 - x-8 = 28 - 8$, which gives $-x = 20$. Then multiply both sides by -1: $x=-20$. Wait, but the question says "in terms of x"? Wait, maybe the original equation is to solve for, say, maybe there was a typo, but assuming we need to express 8 - x = 28x? No, wait the original equation as per the image (though rotated) seems to be $\frac{8 - x}{4}=7$, solve for x. Wait, let's re - examine.

Wait, the user's image - rotated text: "What is the equation $\frac{8 - x}{4}=7$ in terms of x?" Wait, maybe it's to solve for x or to rearrange. Let's do the correct steps:

Starting with $\frac{8 - x}{4}=7$

Multiply both sides by 4: $8 - x=28$

Then, subtract 8 from both sides: $-x = 28 - 8=20$

Multiply both sides by - 1: $x = 8 - 28=-20$

But if we want to express 8 - x in terms of x? No, maybe the equation is to solve for x.

Wait, let's do the steps properly:

1. Given $\frac{8 - x}{4}=7$
2. Multiply both sides by 4: $8 - x = 7\times4=28$
3. Then, we can write $x=8 - 28=-20$

But if the question is to rearrange the equation $\frac{8 - x}{4}=7$ to solve for x:

Step1: Multiply both sides by 4

$\frac{8 - x}{4}\times4=7\times4$
Simplifies to $8 - x = 28$

Step2: Isolate x

Subtract 8 from both sides: $8 - x-8=28 - 8$
Which gives $-x = 20$

Step3: Solve for x

Multiply both sides by - 1: $x=-20$

Answer:

$x = - 20$ (If we solve the equation $\frac{8 - x}{4}=7$ for x)

If the question was to express 8 - x in terms of x from the equation $\frac{8 - x}{4}=7$, then from the equation, $8 - x = 28$ (after multiplying both sides by 4). But the most probable is solving for x, so the answer is $x=-20$