Solve for the Missing Number: 7-?+4+2×18=29 Using Order of Operations

Question

7?+4+2×18=29 7-?+4+2\times18=29

Video Solution

Solution Steps

00:00 Let's solve the exercise and isolate the unknown
00:02 Multiplication comes before addition and subtraction
00:50 Subtract 47 from both sides of the equation to isolate the unknown
01:08 Multiply by minus 1 to make the unknown positive

Step-by-Step Solution

First, we place the multiplication exercise in parentheses:

7?+4+(2×18)=29 7-?+4+(2\times18)=29

We solve the exercise in parentheses:

2×18=36 2\times18=36

Now we obtain the exercise:

7?+4+36=29 7-?+4+36=29

We reduce the addition exercise:

36+4=40 36+4=40

Now we obtain the exercise:

7?+40=29 7-?+40=29

The question mark is the unknown, therefore we will refer to the exercise as an equation.

We arrange the exercise to isolate the question mark:

40+7?=29 40+7-?=29

We reduce:

47?=29 47-?=29

We move 47 to the other side and change to the correct sign:

?=2947 -?=29-47

?=18 -?=-18

We divide both sides by -1 to change to the correct sign:

?=18 ?=18

Answer

18 18