Answer :

We start with the equation

[tex]$$10x + 7 = 197.$$[/tex]

Step 1: Subtract 7 from both sides

To isolate the term with [tex]$x$[/tex], subtract [tex]$7$[/tex] from both sides:

[tex]$$10x + 7 - 7 = 197 - 7.$$[/tex]

This simplifies to

[tex]$$10x = 190.$$[/tex]

Step 2: Divide both sides by 10

Next, divide both sides of the equation by [tex]$10$[/tex] to solve for [tex]$x$[/tex]:

[tex]$$x = \frac{190}{10}.$$[/tex]

Simplifying the fraction gives

[tex]$$x = 19.$$[/tex]

Thus, the solution to the equation is

[tex]$$x = 19.$$[/tex]