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\( x = -3 \)
Solución
Sure, let's solve the equation step by step.
**Given Equation:**
\[
-2(3x - 1) = 20
\]
**Step 1: Distribute the -2**
Multiply each term inside the parentheses by -2.
\[
-2 \times 3x + (-2) \times (-1) = 20
\]
\[
-6x + 2 = 20
\]
**Step 2: Subtract 2 from Both Sides**
To isolate the term with \( x \), subtract 2 from both sides of the equation.
\[
-6x + 2 - 2 = 20 - 2
\]
\[
-6x = 18
\]
**Step 3: Divide Both Sides by -6**
Finally, solve for \( x \) by dividing both sides by -6.
\[
\frac{-6x}{-6} = \frac{18}{-6}
\]
\[
x = -3
\]
**Solution:**
\[
x = -3
\]
Revisado y aprobado por el equipo de tutoría de UpStudy
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Simplifique esta solución Bonus Knowledge
To solve the equation \( -2(3x - 1) = 20 \), first, distribute the -2: \( -6x + 2 = 20 \). Next, isolate the variable by subtracting 2 from both sides: \( -6x = 18 \). Finally, divide both sides by -6 to find \( x = -3 \). Voilà! You’ve found the solution to the equation! When you encounter similar equations, remember to always distribute carefully and isolate the variable step-by-step. A common mistake is to forget to distribute the negative sign, which can lead to incorrect conclusions. So, double-check your work, and you’ll be golden!
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