Misha solves the equation 3 x minus 2 (x + 3) = 4 (x minus 2) minus 7 by applying the distributive property to each side of the equation. The result is 3 x minus 2 x minus 6 = 4 x minus 8 minus 7. Misha then wants to combine like terms. Which are the terms Misha should combine?

The terms that Misha should combine are 3x - 2x and - 8 - 7

Step-by-step explanation:

Misha have the equation : 3x-2 (x+3) = 4 (x-2) - 7

After applying distributive property, a (b+c) = ab+ac

3x - 2x - 6 = 4x - 8 - 7 ... (1)

Now, we need to combine the like terms, like terms are the terms having the same coefficient and combining them means to combine their coefficients.

In equation (1), 3x and - 2x are like terms as it have the same coefficient x

Hence we will solve them and get (3-2) x = x

Similarly, - 8 and - 7 can be solved and we get - 7-8 = - 15

Now, the equation becomes, x-6 = 4x-15

Then, again collecting the like terms on L. H. S and R. h. s and then solving, we get

4x - x = 15-6

3x = 9

x = 3

2 (x+3) = 4

2x+6=4

2x=4-6

2x=-2

2x:2

x=1