Solve the Equation: Finding the Missing Number in ?:(-6)+[-2(94-73)]=-153

Question

Fill in the missing number:

? ⁣:(6)+[2(9473)]=153 ?\colon(-6)+\lbrack-2(94-73)\rbrack=-153

Video Solution

Solution Steps

00:06 Start with the inner parentheses
00:20 Continue solving the parentheses
00:45 Plus sign before minus becomes minus
00:49 Add 42 to both sides to isolate the variable
01:14 Multiply both sides by minus 6

Step-by-Step Solution

We begin by solving the innermost parentheses:

9473=21 94-73=21

We obtain the following calculation:

x ⁣:(6)+[2(21)]=153 x\colon(-6)+\lbrack-2(21)\rbrack=-153

Next we focus on the parentheses and multiply:

2×21=42 -2\times21=-42

We obtain the following calculation:

x ⁣:(6)+(42)=153 x\colon(-6)+(-42)=-153

Let's consider the multiplication between minus and plus:

x ⁣:(6)42=153 x\colon(-6)-42=-153

We swap sections:

x ⁣:(6)=153+42 x\colon(-6)=-153+42

x ⁣:(6)=111 x\colon(-6)=-111

x6=111 \frac{x}{-6}=-111

Lastly we multiply by minus 6:

x=111×6=666 x=-111\times-6=666

Answer

x=666 x=666