Pregunta
Solución de inteligencia artificial de Upstudy
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\( x = -\frac{8}{27} \)
Solución
We start with the equation:
1.2 + 6x = -2.1x - 1.2
Step 1: Add 2.1x to both sides to get all x terms on one side:
1.2 + 6x + 2.1x = -1.2
1.2 + 8.1x = -1.2
Step 2: Subtract 1.2 from both sides:
8.1x = -1.2 - 1.2
8.1x = -2.4
Step 3: Divide both sides by 8.1:
x = -2.4 / 8.1
To simplify, multiply numerator and denominator by 10:
x = -24/81
Now, divide numerator and denominator by 3:
x = -8/27
Thus, the solution is:
x = -8/27
You can also express this as a decimal approximation, x ≈ -0.2963.
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución Beyond the Answer
To solve the equation \( 1.2 + 6x = -2.1x - 1.2 \), we can start by moving all terms involving \( x \) to one side and constant terms to the other side. Add \( 2.1x \) and subtract \( 1.2 \) from both sides to get \( 6x + 2.1x = -1.2 - 1.2 \). This simplifies to \( 8.1x = -2.4 \). Dividing both sides by \( 8.1 \) gives us \( x = -\frac{2.4}{8.1} \) or approximately \( -0.296 \). Remember to check your result by plugging it back into the original equation. Also, ensure that when you combine like terms, you keep your signs straight! Mistakes are common here, especially with negative numbers.
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