Answer:
x = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS 
- Brackets 
 - Parenthesis 
 - Exponents 
 - Multiplication 
 - Division 
 - Addition 
 - Subtraction 
 
Equality Properties 
- Multiplication Property of Equality 
 - Division Property of Equality 
 - Addition Property of Equality 
 - Subtract Property of Equality
 
Explanation:
Step 1: Define
10.5x - 1.9 = 19.1
Step 2: Solve for x
- Add 1.9 to both sides: 10.5x = 21
 - Divide 10.5 on both sides: x = 2
 
Step 3: Check
Plug in x into the original equation to verify it's a solution.
- Substitute in x: 10.5(2) - 1.9 = 19.1
 - Multiply: 21 - 1.9 = 19.1
 - Subtract: 19.1 = 19.1
 
Here we see that 19.1 does indeed equal 19.1.
∴ x = 2 is a solution to the equation.