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

3x and -2x are like terms

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