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.
Solve for x.%0D%0A3/7x−4=−1
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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.
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.