Solve for ?: (45-22)×19+25÷5+?×3=82 Order of Operations

Question

Calculate the missing number in the equation:

(4522)×19+25 ⁣:5+?×3=82 (45-22)\times19+25\colon5+?\times3=82

Video Solution

Solution Steps

00:00 Let's start with the operation in parentheses
00:17 Let's perform multiplication and division operations
00:34 Let's continue solving
00:44 Subtract 442 from both sides to isolate the variable
01:02 Divide both sides by 3

Step-by-Step Solution

We solve the exercise in parentheses:

23×19+25 ⁣:5+?×3=82 23\times19+25\colon5+?\times3=82

We place the multiplication and division exercises inside parentheses:

(23×19)+(25 ⁣:5)+?×3=82 (23\times19)+(25\colon5)+?\times3=82

We solve the exercise in parentheses:

437+5+?×3=82 437+5+?\times3=82

We simplify:

442+?×3=82 442+?\times3=82

We swap sections:

?×3=82442 ?\times3=82-442

?×3=360 ?\times3=-360

We divide by 3

?=120 ?=-120

Answer

?=120 ?=-120