What is the value of x in the equation 7x - 5 = 30?

What is the value of x in the equation 7x - 5 = 30?

• A. 3
• B. 5
• C. 7
• D. 4

Answer: (B)

To find the value of x in the equation 7x - 5 = 30, you start by isolating the term containing x. First, you can add 5 to both sides of the equation to eliminate the -5. This step gives you: 7x - 5 + 5 = 30 + 5, which simplifies to 7x = 35. Next, to solve for x, you need to divide both sides by 7: 7x/7 = 35/7, simplifying to x = 5. Thus, the value of x is 5. This process demonstrates linear equation solving, where you rearrange the equation through arithmetic operations to isolate the variable of interest. Understanding this method is crucial for tackling similar problems in algebra.

To find the value of x in the equation 7x - 5 = 30, you start by isolating the term containing x. First, you can add 5 to both sides of the equation to eliminate the -5. This step gives you:

7x - 5 + 5 = 30 + 5, which simplifies to 7x = 35.

Next, to solve for x, you need to divide both sides by 7:

7x/7 = 35/7, simplifying to x = 5.

Thus, the value of x is 5. This process demonstrates linear equation solving, where you rearrange the equation through arithmetic operations to isolate the variable of interest. Understanding this method is crucial for tackling similar problems in algebra.