Question

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? 8x + 2x –4 + 5 + 3 + 2 –4 + 5 and 3 + 2 4 + 5 and 3 + 2 Mark this and return

Answer 1

-4+5 and 3+2

Explanation:

it has to have the and btw :)

Answer 2

Given the equation: 4(2x-1)+5 = 3+2(x+1) .....[1]

Distributive property states that when a number is multiplied by the sum of two numbers, then the first number can be distributed to both of those numbers and multiplied by each of them separately.

i.e,
`a\cdot (b+c) = a\cdot b+ a\cdot c`

Applying distributive property, in [1]we get;

`4 \cdot(2x) -4 \cdot 1 + 5 = 3 +2 \cdot x + 2\cdot 1`

Simplify:

`8x -4 + 5 = 3 + 2x + 2` .....[2]

Like terms are those terms that have the same variables and powers

Combine like terms on each side in equation [2];

8x +(-4+5) = (3+2) +2x

Simplify:

8x + 1 =5 + 2x

The terms which Carey combine are; -4 +5 and 3 + 2