5 (x - 12) + 6 = 3 (2x - 7)

You distribute the 5 and times it by x and - 12 then the problem would look like this

5x-60+6=3 (2x-7)

next you distribute the 3 and times it with 2x and - 7 then the problem would look like this

5x-60+6=6x-21

then you solve by combining like terms on the left so you minus 6 from 60 and get 54 so now you have

5x-54=6x-21

now you add 54 to - 21 but since it's a negative you will subtract and take the larger numbers side which will be 33

now you have a problem that looks like this

5x=6x+33

so now you subtract 6x with 5x and get 1x

so the problem will look like this

1x = 33

then you divide 1x on both sides and the answer is

x = 33

Step-by-step explanation:

First, distribute the outside numbers into the parentheses:

5*x+5*-12+6=3*2x+3*-7

5x-60+6=6x-21

Combine like terms

5x-54=6x-21

Add 21 to both sides

5x-33=6x

Subtract 5x from both sides

you wind up getting x=-33

x=-33

you can check to make sure that's the correct answer but simply plugging in - 33 for x and checking to make sure both sides of the equation are equal:

-33-12=-45*5=-225+6=-219

-33*2=-66-7=-73*3=-219

So, yes, x equals - 33