Solve and check x+6=2x-7

This is a linear equation in x.

x + 6 = 2x-7

Adding - 2x to both sides we obtain,

x + 6 - 2x = - 7

Now let's again add - 6 to both sides of the equation, This implies that:

x-2x = - 7-6

Let us simplify further to obtain,

-x = - 13

Let's multiply through by - 1 to obtain

x = 13

CHECK

13 + 6 = 2 (13) - 7

13 + 6 = 26 - 7

19 = 17