Solve for X in the Equation 8(-2-x)=16: Step-by-Step Guide

Solve for x:

8(2x)=16 8(-2-x)=16

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine X
00:04 Divide by 8 in order to eliminate the coefficient of the parentheses
00:15 Simplify wherever possible
00:20 Arrange the equation so that the unknown X is only on one side
00:27 Collect like terms
00:30 Convert from negative to positive
00:38 A negative divided by negative is always positive, and vice versa
00:41 Here is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve for x:

8(2x)=16 8(-2-x)=16

2

Step-by-step solution

First, we divide both sections by 8:

8(2x)8=168 \frac{8(-2-x)}{8}=\frac{16}{8}

Keep in mind that the 8 in the fraction of the left section is reduced, so the equation we get is:

2x=2 -2-x=2

We move the minus 2 to the right section and maintain the plus and minus signs accordingly:

x=2+2 -x=2+2

x=4 -x=4

We divide both sides by minus 1 and maintain the plus and minus signs accordingly when we divide:

x1=41 \frac{-x}{-1}=\frac{4}{-1}

x=4 x=-4

3

Final Answer

-4

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\( x+x=8 \)

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