The solution to the given equation is x = -8
<h3>Solving Linear Equations</h3>
From the question, we are to determine value of x in the given equation
The given equation is
(x + 6)/x = 1/4
To solve the given equation, we would solve for the unknown variable x
(x + 6)/x = 1/4
First, multiply both sides of the equation by x
x + 6 = x × 1/4
x + 6 = x/4
Now, multiply both sides of the equation by 4
4(x + 6) = 4 × x/4
4x + 24 = x
Now, subtract x from both sides of the equation
4x - x + 24 = x - x
3x + 24 = 0
Subtract 24 from both sides of the equation
3x + 24 - 24 = 0 - 24
3x + 0 = -24
3x = -24
Divide both sides of the of the equation by 3
3x/3 = -24/3
x = -8
Hence, the solution to the given equation is x = -8
Learn more on Solving Linear Equations here: brainly.com/question/85186
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