Solve for x.%0D%0A3/7x−4=−1

3 answers

To solve for x, we need to isolate the variable x on one side of the equation.

Given equation: 3/7x - 4 = -1

First, we can simplify the left side by multiplying each term in the fraction by the denominator 7:

(3 * 7 * x)/7 - 4 = -1
(21x)/7 - 4 = -1

Now, we can write the equation as:

(21x - 28)/7 = -1

Multiply both sides of the equation by 7 to eliminate the fraction:

7 * ((21x - 28)/7) = -1 * 7
21x - 28 = -7

Next, we can simplify the equation:

21x = -7 + 28
21x = 21

Now, divide both sides of the equation by 21:

(21x)/21 = 21/21
x = 1

Therefore, the solution to the equation 3/7x - 4 = -1 is x = 1.
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Apologies for the incorrect response. Let's solve the equation correctly.

Given equation: 3/7x - 4 = -1

To isolate x, we'll follow these steps:

1. Add 4 to both sides of the equation:

(3/7x) - 4 + 4 = -1 + 4
3/7x = 3

2. Multiply both sides of the equation by the reciprocal of 3/7 to eliminate the fraction:

(7/3) * (3/7x) = (7/3) * 3
(7/3) * (3/7) * x = 7/3
1 * x = 7/3

3. Simplify the right side:

x = 7/3

So, the solution to the equation 3/7x - 4 = -1 is x = 7/3.
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