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

User Alex Ross
by
7.9k points

2 Answers

6 votes

Answer:

x=2

Explanation:

7x=10+2x

7x-2x=10

5x=10

x=2

User Alligator
by
7.4k points
6 votes

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.

User Gnarlybracket
by
8.6k points