please explain how to simplify 4(2a+3) - (a-5)?

4(2a+3) - (a-5)

There is a rule called the BIDMAS rule. this is basically a rule to help us remember what we should do first when simplifying or solving an algebraic equation.

B - brackets
I - indices
D - division
M - multiplication
A - addition
S - subtraction

so first open up the brackets, then expand any indices, then divide, multiply and finally add and subtract.

In your problem 4(2a+3) - 1(a-5)

NOTE: i've added a -1 before the second bracket so we dont forget that we should multiply that bracket as well.

we start with the brackets (remember brackets is multiplication by all terms in the brackets):

Therefore 4*2a + 4*3 -1*a + (-1)*(-5)

Then just multiply:

8a + 12 - a +5

Finally add and subtract like terms:

7a +17

4(2a+3) - (a-5)

1) = 8a + 12 - a -5. The first step is to combine the brackets so 4 * 2a = 8a + 4*3= 12 - a-5.

2)= 7a + 17. The next step is to collect like terms which = 8a - a = 7a + 12 = 5 + 17.

The simplified version = 7a + 17

That is as simple as it can go as there is no number as the answer to the equation e.g x + 10 = 50, then the answer would be 40 because their is a number on the right of the equal sign to help you work out the pronumeral (x).

First expand 4(2a+3) - (a-5)

So
4(2a+3) - (a-5) = 8a + 12 - a + 5
= 7a + 17

It is simply asking to expand and find any common factors.

use the distributive property
=4(2a) + 4(3) - a + 5
=8a + 12 - a + 5
=(8a - a) + (12 + 5)
= 7a + 17

First you should distribute the 4 by multiplying it by the two parts in parentheses so you get:

8a +12 - (a-5)

Distribute the negative in the second parentheses so you get:

8a +12 -a +5

Combine like terms:

7a + 17

= 4(2a + 3) - (a - 5)
= 8a + 12 - a + 5
= 7a + 17

Answer: 7a + 17

4(2a+3) - (a-5) = 0 First expand (rem. to carry the minus through the - (a-5)):

8a + 12 - a +5 = 0 Combine like terms:

7a +17 = 0 Subtract 17

7a = -17 Divide by 7

a = - 17/7

4(2a + 3) - (a - 5)
= 4*2a + 4*3 - a + 5
= 8a + 12 - a + 5
= 8a - a + 12 + 5
= 7a + 17

It may be an idea to write as :-
4 (2a + 3) - 1 (a - 5)
8a + 12 - a + 5
7a + 17

4(2a + 3) - (a - 5)
= 8a + 12 - a + 5
= 7a + 17