Question
Solve the following equation: \[ 5 x-7=-12 \]
Ask by Hampton Rodriquez. in the United States
Jan 30,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = -1 \)
Solution
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The Deep Dive
To solve the equation \( 5x - 7 = -12 \), start by isolating the term with \( x \). First, add 7 to both sides of the equation: \[ 5x - 7 + 7 = -12 + 7 \] This simplifies to: \[ 5x = -5 \] Next, divide both sides by 5 to solve for \( x \): \[ x = \frac{-5}{5} \] Thus, we find that: \[ x = -1 \] Now you can check your work by substituting \( x = -1 \) back into the original equation to ensure both sides are equal.
