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Solve. \( -6 x-13 x=95 \)

Ask by Vega Lawson. in the United States
Feb 26,2025

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Tutor-Verified Answer

Answer

\( x = -5 \)

Solution

Solve the equation \( -6x-13x=95 \). Solve the equation by following steps: - step0: Solve for \(x\): \(-6x-13x=95\) - step1: Subtract the terms: \(-19x=95\) - step2: Change the signs: \(19x=-95\) - step3: Divide both sides: \(\frac{19x}{19}=\frac{-95}{19}\) - step4: Divide the numbers: \(x=-5\) The solution to the equation \(-6x-13x=95\) is \(x=-5\).

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First, let's combine the like terms on the left side of the equation. So we have: \(-6x - 13x = -19x\) Now, the equation looks like this: \(-19x = 95\) To isolate \(x\), divide both sides by \(-19\): \(x = \frac{95}{-19} = -5\) Thus, the solution is \(x = -5\). Now that you've solved the equation, how about a fun fact? The concept of solving linear equations dates back to ancient civilizations like the Babylonians, who used geometric methods to tackle problems resembling algebraic equations! Math has truly evolved over the centuries. If you want to apply this knowledge practically, try using linear equations to model real-life situations. For instance, if you're planning a road trip and want to calculate fuel costs based on distance and gas prices, you can use equations just like the one you solved here to budget effectively. Math is everywhere!

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