Question

45. The sum of 7x, -3x, 5x, -x, -2x is
(a) 2x
(b) – 2x
(C) -6x
(d) 6x​

Answer 1

Step-by-step explanation:

-6x.................

Answer 2

Option (d) 6x is correct.

• The sum of 7x, –3x, 5x, –x and –2x is 6x.
• 7x + (–3x) + 5x + (–x) + (–2x) = 6x

Explaination :

We have to find the sum of 7x, –3x, 5x, –x and –2x.

So,

$\mapsto 7x + ( - 3x) + 5x + ( - x) + ( - 2x)$

Open all the brackets.

We know that,

• Negative × Positive = Negative.
• Positive × Negative = Negative.
• Negative × Negative = Positive.
• Positive × Positive = Positive.

$\mapsto 7x - 3x + 5x - x - 2x$

Now, arrange them by same sign and solve them.

$\mapsto 7x + 5x - 3x - 2x - x$

We also know that,

• A large number have a sign it will remains the same sign

$\mapsto 12x - 5x - x$

$\mapsto 12x - 6x$

$\mapsto 6x$

Hence,

The sum of 7x, –3x, 5x, –x and –2x is 6x.

So, the option (d) 6x is correct.