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

Question

Determine the value of x x :

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

Video Solution

Solution Steps

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 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

Answer

x=8 x=-8