Solve the Linear Equation: 2(x+4)+8=0 Step by Step

Determine the value of x x :

2(x+4)+8=0 2(x+4)+8=0

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solution
00:03 Open parentheses properly, multiply by each factor
00:13 Collect terms
00:22 Arrange the equation so that one side has only the unknown X
00:28 Isolate X
00:38 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Determine the value of x x :

2(x+4)+8=0 2(x+4)+8=0

2

Step-by-step solution

Let's first expand the parentheses using the formula:

a(x+b)=ax+ab a(x+b)=ax+ab

(2×x)+(2×4)+8=0 (2\times x)+(2\times4)+8=0

2x+8+8=0 2x+8+8=0

Next, we will substitute in our terms accordingly:

2x+16=0 2x+16=0

Then, we will move the 16 to the left-hand side, keeping the appropriate sign:

2x=−16 2x=-16

Finally, we divide both sides by 2:

2x2=−162 \frac{2x}{2}=-\frac{16}{2}

x=−8 x=-8

3

Final Answer

x=−8 x=-8

Practice Quiz

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Solve for x:

\( 2(4-x)=8 \)

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