Carey solves the equation 4(2x-1)+5=3+2(x+1) by applying the distributive property on both sides of the equation. the result is 8x-4+5=3+2x+2. carey then wants to combine like terms. which are the terms carey should combine?

Carey should combine 8x with 2x and all other terms as one term by applying distributive property

Solution:

Given that,  

Carey solves the equation 4(2x – 1) + 5 = 3 + 2(x + 1) by applying the distributive property on both sides of the equation.  

The result is 8x – 4 + 5 = 3 + 2x + 2.  

Now, Carey then wants to combine like terms.  

We have to find which are the terms Carey should combine?  

If we observe clearly then there are two different types of terms, one with variables and others are numerical

Now let us make the like terms one side of “=”

Then, 8x – 2x = 3 + 2 + 4 – 5 ⇒ 6x = 4 ⇒ x =

Hence, carey should combine 8x with 2x and all other terms as one term

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1