Pregunta
upstudy study bank question image url

Which equation is equivalent to \( 4 x+3+(-3 x)+7 x-6 x=11 \) ? A. \( 8 x+3=11 \) B. \( 2 x+3=11 \) C. \( 5 x=11 \) D. \( -4 x=11 \)

Ask by Clarke Bowen. in the United States
Feb 25,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

The equivalent equation is \( 2x + 3 = 11 \), which is option B.

Solución

Let's simplify the left-hand side of the equation step by step: 1. Combine the x-terms:   4x + (-3x) = x,   x + 7x = 8x,   8x - 6x = 2x. 2. The constant term remains:   +3. So, the equation simplifies to:   2x + 3 = 11. Therefore, the equivalent equation is option B: 2x + 3 = 11.

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

Mind Expander

Let's simplify the left side of the equation step by step! First, we combine like terms: \(4x\), \(-3x\), and \(7x\) gives us \(4x - 3x + 7x = 8x\). Next, we simplify the constants: \(3 - 6\) results in \(-3\). So, we have \(8x - 3 = 11\). Now, to isolate \(8x\), we can add \(3\) to both sides, resulting in \(8x = 11 + 3\), which simplifies to \(8x = 14\). However, none of the given options directly match this, so let's see which rearrangement could be equivalent after further simplification. If you still want to test the options given: A. \(8x + 3 = 11\) (this is the set-up step we started with). B. Rewrite: \(2x + 3 = 11\) would imply \(x = 4\) which doesn't come from our simplified raw. C. \(5x = 11\) doesn't relate to our total either. D. It's close! If we isolated variables correctly it's just \(8x = 14\) but we see options are flipped. Ultimately, correct re-checks show logical miswriting, leading to -3 being possible missing from further chance of options. The key takeaway here is the importance of combining like terms carefully!

preguntas relacionadas

ISCELÁNEA cribir, por simple inspección, el resultado de: \( \begin{array}{lll}(x+2)^{2} & \text { 14. }(x+y+1)(x-y-1) & \text { 27. }\left(2 a^{3}-5 b^{4}\right)^{2} \\ (x+2)(x+3) & \text { 15. }(1-a)(a+1) & \text { 28. }\left(a^{3}+12\right)\left(a^{3}-15\right) \\ (x+1)(x-1) & \text { 16. }(m-8)(m+12) & \text { 29. }\left(m^{2}-m+n\right)\left(n+m+m^{2}\right) \\ (x-1)^{2} & \text { 17. }\left(x^{2}-1\right)\left(x^{2}+3\right) & \text { 30. }\left(x^{4}+7\right)\left(x^{4}-11\right) \\ (n+3)(n+5) & \text { 18. }\left(x^{3}+6\right)\left(x^{3}-8\right) & \text { 31. }(11-a b)^{2} \\ (m-3)(m+3) & \text { 19. }\left(5 x^{3}+6 m^{4}\right)^{2} & \text { 32. }\left(x^{2} y^{3}-8\right)\left(x^{2} y^{3}+6\right) \\ (a+b-1)(a+b+1) & \text { 20. }\left(x^{4}-2\right)\left(x^{4}+5\right) & \text { 33. }(a+b)(a-b)\left(a^{2}-b^{2}\right) \\ (1+b)^{3} & \text { 21. }(1-a+b)(b-a-1) & \text { 34. }(x+1)(x-1)\left(x^{2}-2\right) \\ \left(a^{2}+4\right)\left(a^{2}-4\right) & \text { 22. }\left(a^{x}+b^{n}\right)\left(a^{x}-b^{n}\right) & \text { 35. }(a+3)\left(a^{2}+9\right)(a-3) \\ \left(3 a b-5 x^{2}\right)^{2} & \text { 23. }\left(x^{a+1}-8\right)\left(x^{a+1}+9\right) & \text { 36. }(x+5)(x-5)\left(x^{2}+1\right) \\ (a b+3)(3-a b) & \text { 24. }\left(a^{2} b^{2}+c^{2}\right)\left(a^{2} b^{2}-c^{2}\right) & \text { 37. }(a+1)(a-1)(a+2)(a-2) \\ (1-4 a x)^{2} & \text { 25. }(2 a+x)^{3} & \text { 36. }\left(x^{2}-11\right)\left(x^{2}-2\right)\end{array} \) \( \left(a^{2}+8\right)\left(a^{2}-7\right) \)
Álgebra Mexico Feb 26, 2025
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad