Seven times a number is equal to 10 more than twice the number. use x as the variable

Question

asked Jun 20, 2024 178k views

2 Answers

Gnarlybracket · Answer 1 · 2024-06-25T01:41:25+0000

Answer:

$\sf x = 2$

Explanation:

Let's set up an equation to represent the given statement:

"Seven times a number is equal to 10 more than twice the number."

Let
$\sf x$ be the variable representing the number. The equation is:

$\sf 7x = 2x + 10$

Now, let's solve for
$\sf x$ :

Subtract
$\sf 2x$ from both sides:

$\sf 7x - 2x = 10$

Combine like terms:

$\sf 5x = 10$

Divide both sides by 5:

$\sf x =(10)/(5)$

$\sf x = 2$

So, the solution to the equation is
$\sf x = 2$ .