Consider your mathematics expression. Examine the relationship within your equation. For example, |x - 10| + 3 = 5 should be understood sas the absolute value of x minus 10 plus three equals five.
Isolate your absolute value expression. Use mathematics functions to get your absolute value expression on the left side of the equal sign. Remember to use to your order of operations -- parenthesis, exponents, multiplication, division, addition and subtraction. In the example, |x - 10| + 3 = 5, subtract three from each side of the equal sign to isolate your absolute value expression. You should get |x - 10| = 2.
Drop the absolute value signs and rewrite your expression with a positive and negative solution. |x - 10| = 2 should be rewritten as x - 10 = 2 and x - 10 = -2.
Solve both expressions by isolating the variable to get your solution. The final solutions for |x - 10| + 3 = 5 are 12 and 8.