Pregunta
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( x=2 \).
Solución
Solve the equation \( \frac{2x}{3}-\frac{2}{5}=\frac{14}{15} \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(\frac{2x}{3}-\frac{2}{5}=\frac{14}{15}\)
- step1: Move the constant to the right side:
\(\frac{2x}{3}=\frac{14}{15}+\frac{2}{5}\)
- step2: Add the numbers:
\(\frac{2x}{3}=\frac{4}{3}\)
- step3: Multiply both sides of the equation by \(3:\)
\(\frac{2x}{3}\times 3=\frac{4}{3}\times 3\)
- step4: Multiply the terms:
\(2x=4\)
- step5: Divide both sides:
\(\frac{2x}{2}=\frac{4}{2}\)
- step6: Divide the numbers:
\(x=2\)
La solution de l'équation \( \frac{2x}{3}-\frac{2}{5}=\frac{14}{15} \) est \( x=2 \).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Beyond the Answer
To solve the equation \( \frac{2 x}{3} - \frac{2}{5} = \frac{14}{15} \), first, let's eliminate the fractions by finding a common denominator. The least common multiple of 3, 5, and 15 is 15. Multiply each term by 15: \[ 15 \left( \frac{2 x}{3} \right) - 15 \left( \frac{2}{5} \right) = 15 \left( \frac{14}{15} \right) \] This simplifies to: \[ 10x - 6 = 14 \] Now, add 6 to both sides to isolate the term with \(x\): \[ 10x = 20 \] Next, divide by 10: \[ x = 2 \] So, the solution to the equation is \( x = 2 \).
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