How do i find the a in this equation : 5(a+2)-2(a+3)=19 ?

Question

How do i find the a in this equation : 5(a+2)-2(a+3)=19 ?

and please tell me how to work it out and whats the answer , i need it desperately

Answer 1

Okay, let's work it through one bit at a time. Basically, what you need to do is get all the (a)s together, and simplify it.

5(a+2)-2(a+3)=19

First expand out the brackets (multiply all elements in the brackets by the number in front of it)

5a + 10 - 2a - 6 = 19

Notice how the second set is multiplied by (-2), therefore the (+3) becomes (-6)

Then, minus the 10, and add the 6...on both sides, so it stays balanced

5a - 2a = 19 -10 + 6

Now simplify

3a = 15

Let's divide by three, so we have just 1a

a = 5

Voila!

Answer 2

1) distribute 5 to (a+2), distribute -2 to (a+3)

    5a+10-2a-6=19

2) combine like terms

    3a+4=19

3) subtract 4 to the right side

    3a = 15

4) divide by 3

    a=5

Answer 3

First, simplify the equation by distributing 5 and -2 into the quantity.

5(a+2)-2(a+3)=19

5a + 10 - 2a - 6 = 19

Second, combine all similar terms in both sides of the equation.

5a + 10 - 2a - 6 = 19

3a + 4 = 19

Using the subtraction property of equality, we can say that:

3a + 4 - 4 = 19 - 4

3a = 15

Finally, using the division property of equality, we can say that:

3a/3 = 15/3

a = 5

There you go!

Answer 4

5(a+2)-2(a+3)=19

5a+10-2a-6=19

3a=19-10+6

3a=15

a=5

Answer 5

1) Multiply it out, simplify it ... 5a + 10 - 2a - 6 = 19

2) Collect up the like terns  ... I think you can do it now.  

Answer 6

5(a+2)-2(a+3)=19       Question

5a + 10 -2a -6 = 19        Expand the brackets

3a + 4 = 19         Combine the "like terms"

3a = 19 - 4         Move the 4 to the other side

3a = 15         Subtract the 4 from the 19

a = 15/3         Divide 15 by 3

a = 5            Answer

Hope that helped. =)