Simplify the Linear Expression: 4a+(5a-2)-4a+10

Question

4a+(5a2)4a+10= 4a+(5a-2)-4a+10=

Video Solution

Solution Steps

00:09 Let's solve this problem.
00:12 First, we'll rewrite it in a simpler form.
00:20 Using the commutative law, we arrange the terms to make it clearer.
00:52 Next, we follow the order of operations, working from left to right.
00:59 And that's how we find our solution.

Step-by-Step Solution

According to the rules of the order of operations, we first eliminate the parentheses.

Remember that a positive times a positive will give a positive result, and a positive times a negative will give a negative result.

Therefore, we obtain:

4a+5a24a+10= 4a+5a-2-4a+10=

Now, we arrange the exercise in a more comfortable way using the substitution property:

4a+5a4a+102= 4a+5a-4a+10-2=

We solve the exercise from left to right, starting by adding the coefficients a:

4a+5a4a=9a4a=5a 4a+5a-4a=9a-4a=5a

Now we obtain:

5a+102=5a+8 5a+10-2=5a+8

Answer

5a+8 5a+8