Questions: 5(4x-3)=105

5(4x-3)=105
Transcript text: Equo \[ 5(4 x-3)=105 \]
failed

Solution

failed
failed

Solution Steps

To solve the equation \(5(4x - 3) = 105\), we need to first distribute the 5 across the terms inside the parentheses. Then, we will isolate the variable \(x\) by performing algebraic operations such as addition or subtraction and division.

Step 1: Distribute the 5

We start with the equation: \[ 5(4x - 3) = 105 \] Distributing the 5 gives: \[ 20x - 15 = 105 \]

Step 2: Isolate the Variable

Next, we isolate \(x\) by adding 15 to both sides: \[ 20x = 105 + 15 \] This simplifies to: \[ 20x = 120 \]

Step 3: Solve for \(x\)

Now, we divide both sides by 20: \[ x = \frac{120}{20} \] This simplifies to: \[ x = 6 \]

Final Answer

\(\boxed{x = 6}\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Chrome - Finding a Job -> Math Quiz vbcourse.knowledgematters.com/quiz/answerQuestion/5706538/4703132 VIRTUAL BUSINESS TB PERSONAL FINANCE Finding a Job Math Quiz QUESTION 7 of 10: II you work an 8-hour shift on each weekend day and take two weeks off during the year, how many hours will you work in a year? a) 800 b) 880 c) 900 d) 960 Submit S2024 Knowedge Maters, Inc.
failedAnswered
Acetic acid and water react to form hydronium cation and acetate anion, like this: HCH3CO2(aq) + H2O(l) → H3O+(aq) + CH3CO2-(aq) Imagine 249 mmol of HCH3CO2 are removed from a flask containing a mixture of HCH3CO2, H2O, H3O+ and CH3CO2- at equilibrium, and then answer the following questions. What is the rate of the forward reaction before any HCH3CO2 has been removed from the flask? - Zero. - Greater than zero, but less than the rate of the reverse reaction. - Greater than zero, and equal to the rate of the reverse reaction. - Greater than zero, and greater than the rate of the reverse reaction. What is the rate of the forward reaction just after the HCH3CO2 has been removed from the flask? - Zero. - Greater than zero, but less than the rate of the reverse reaction. - Greater than zero, and equal to the rate of the reverse reaction. - Greater than zero, and greater than the rate of the reverse reaction. What is the rate of the forward reaction when the system has again reached equilibrium? - Zero. - Greater than zero, but less than the rate of the reverse reaction. - Greater than zero, and equal to the rate of the reverse reaction. - Greater than zero, and greater than the rate of the reverse reaction. How much less HCH3CO2 is in the flask when the system has again reached equilibrium? - None. - Some, but less than 249 mmol. - 249 mmol. - More than 249 mmol.
failedAnswered
Globalization has had little effect on inequality within countries, or between countries along the north/south divide. True False
failedAnswered
Multiple Choice Question Identify which type of writing indicates an analytical assignment or project. announcement of an upcoming concert on campus interpretation of a novel's theme for an English class summary of an article from a scholarly journal editorial opposing a ban on plastic water bottles Need help? Review these concept resources.
failedAnswered
Counting protons and electrons in atoms and atomic ions Fill in the missing information: symbol atom or ion? (check all that apply) number of protons number of electrons --- --- --- --- neutral atom cation anion 14 13 51 N^(3-)