Question

Solve and check x+6=2x-7

Answer 1

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