$7 x-2+3(x-9)+5$

Step 1 ：Given the algebraic expression $7x - 2 + 3(x - 9) + 5$

Step 2 ：Distribute the multiplication across the terms in the parentheses to get $7x - 2 + 3x - 27 + 5$

Step 3 ：Combine like terms to get $10x - 24$

Step 4 ：So, the simplified form of the given algebraic expression is \(\boxed{10x - 24}\)