Question

2(3x+7)−(2+x) write an equivalent expression
a. 4x+12
b. 5x+13
c.5x+12
d.5x-12

Answer 1

The easiest way to find an expression equivalent to our given one, we can simply simplify the given expression.

2(3x + 7) - (2 - x)

Simplify.

6x + 14 - 2 - x

Add like terms.

(6x - x) + (14 - 2)

Simplify.

5x + 12

Look at our given answer choices.

Our answer is c. 5x + 12

Answer 2

Answer :-

Given Expression :-

2 (3x + 7) - (2 + x)

To Find :-

It's equivalent expression.

Solution :-

To Find it's equivalent expression, we have to simplify it. So, let's simplify it :-

$\implies{\sf{2 (3x + 7) - (2 + x)}}$

$\implies{\sf{6x + 14 - 2 - x}}$

Now, add the like terms ;

$\implies{\sf{(6x - x) + (14 - 2)}}$

$\implies{\sf{(5x) + (12)}}$

$\implies{\sf{5x + 12}}$

So, it's equivalent expression is 5x + 12.

Therefore, the correct option is :-

$\boxed{\sf{(c)\ 5x + 12}}$