To solve the given expression, we will follow the order of operations which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
Given expression: 2\times 6 + 7 - 5 + 7 \times 8
Step 1: Perform multiplication and division from left to right.
2 \times 6 = 12
Step 2: Substitute the result back into the expression.
12 + 7 - 5 + 7 \times 8
Step 3: Continue performing multiplication.
7 \times 8 = 56
Step 4: Substitute the result back into the expression.
12 + 7 - 5 + 56
Step 5: Perform addition and subtraction from left to right.
12 + 7 = 19
19 - 5 = 14
14 + 56 = 70
Therefore, the final answer is: \boxed{70}