Question
e the following equation. Express your answer as an integer, simplified fraction, or decimal rounded to \[ 13=-7 x-18 \]
Ask by Rowe Welch. in the United States
Mar 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x = -\frac{31}{7} \) or \( x \approx -4.4286 \)
Solution
Solve the equation \( 13=-7x-18 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(13=-7x-18\)
- step1: Swap the sides:
\(-7x-18=13\)
- step2: Move the constant to the right side:
\(-7x=13+18\)
- step3: Add the numbers:
\(-7x=31\)
- step4: Change the signs:
\(7x=-31\)
- step5: Divide both sides:
\(\frac{7x}{7}=\frac{-31}{7}\)
- step6: Divide the numbers:
\(x=-\frac{31}{7}\)
The solution to the equation \(13=-7x-18\) is \(x=-\frac{31}{7}\) or \(x=-4.428571\).
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Simplify this solution Mind Expander
To solve the equation, start by isolating the variable \(x\). First, add 18 to both sides: \[ 13 + 18 = -7x \] This simplifies to: \[ 31 = -7x \] Now, divide both sides by -7 to solve for \(x\): \[ x = \frac{31}{-7} \] This can also be expressed as: \[ x = -\frac{31}{7} \] Alternatively, rounding to a decimal gives: \[ x \approx -4.43 \]
