Pregunta
\( 1 \leftarrow \quad \begin{array}{l}\text { Solve for } \mathrm{x} \\ 55-3 x=7 \mathrm{x} \\ 5=\square \text { (Simplify your answer.) }\end{array} \)
Ask by Chambers May. in the United States
Feb 13,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
\( x = \frac{11}{2} \)
Solución
We are given the equation:
55 – 3x = 7x
Step 1: Add 3x to both sides to get all x terms on one side.
55 = 7x + 3x
55 = 10x
Step 2: Divide both sides by 10 to solve for x.
x = 55/10
Step 3: Simplify the fraction. Both 55 and 10 are divisible by 5.
55 ÷ 5 = 11 and 10 ÷ 5 = 2
x = 11/2
The simplified answer is: x = 11/2.
Revisado y aprobado por el equipo de tutoría de UpStudy
Como
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Mind Expander
To solve the equation \( 55 - 3x = 7x \), start by isolating \( x \). First, add \( 3x \) to both sides to get \( 55 = 7x + 3x \), simplifying to \( 55 = 10x \). Now, divide both sides by 10, giving \( x = 5.5 \). In a real-world context, knowing how to solve for \( x \) helps in budgeting and financial planning. For instance, if you're figuring out how much money you can save after spending a certain amount, setting up an equation similar to this can lead to insightful answers about your finances and help you stick to a budget!
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