Carey solves the equation 4 (2 x minus 1) + 5 = 3 + 2 (x + 1) by applying the distributive property on both sides of the equation. The result is 8 x minus 4 + 5 = 3 + 2 x + 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

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,  

Applying distributive property, in [1]we get;

Simplify:

         [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

7

step-by-step explanation:

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