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solve the given equation: 13 - 4x = -11 options: x = 1/2 x = -1/2 x = -…

Question

solve the given equation:
13 - 4x = -11
options:
x = 1/2
x = -1/2
x = -6
x = 6

Explanation:

Step1: Isolate the term with x

Subtract 13 from both sides of the equation \(13 - 4x = -11\).
We get \(-4x = -11 - 13\).
Calculating the right - hand side: \(-11-13=-24\), so \(-4x=-24\).

Step2: Solve for x

Divide both sides of the equation \(-4x = -24\) by \(-4\).
Using the formula \(x=\frac{-24}{-4}\), and since \(\frac{-24}{-4} = 6\), we find that \(x = 6\).

Answer:

\(x = 6\) (corresponding to the option with \(x = 6\))