Question

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?

Answer 1

Answer:

Step-by-step explanation:

The given equation is : $3x-2(x+3)=4(x-2)-7$

On solving this equation and applying the distributive property, we have

⇒$3x-2x-6=4x-8-7$

⇒$x-6=4x-15$

Combining the like terms like terms consisting of x are solved together and the constants are solved together,

⇒$x-4x=-15+6$

⇒$-3x=-9$

⇒$x=3$

Answer 2

Answer:

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