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Solve 4x + 8 = 0

The solution of 4x + 8 = 0 is x = -2.

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The lines y = 4x + 8 and y = 0 meet at x = -2-8-6-4-224-20-101020x = -2y = 4x + 8y = 0
The lines y = 4x + 8 and y = 0 meet at x = -2. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    4x+8=04x + 8 = 0
  2. 2

    Subtract 8 from both sides:

    4x+8āˆ’8=0āˆ’8Ā ā‡’Ā 4x=āˆ’84x + 8 - 8 = 0 - 8 \ \Rightarrow\ 4x = -8
  3. 3

    Divide both sides by 4:

    4x4=āˆ’84Ā ā‡’Ā x=āˆ’2\frac{4x}{4} = \frac{-8}{4} \ \Rightarrow\ x = -2
  4. 4

    Check: put x = -2 back into the equation.

    4ā‹…(āˆ’2)+8=āˆ’8+8=0āœ“4\cdot(-2) + 8 = -8 + 8 = 0 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 8 = 0\ \Rightarrow\ x = -2 \]
\[ 4x + 8 = 0 \]
\[ 4x + 8 - 8 = 0 - 8 \ \Rightarrow\ 4x = -8 \]
\[ \frac{4x}{4} = \frac{-8}{4} \ \Rightarrow\ x = -2 \]
\[ 4\cdot(-2) + 8 = -8 + 8 = 0 \checkmark \]

Trying values of x in 4x + 8 = 0

x4x + 8Equals 0?
-4-8no
-3-4no
-20yes
-14no
08no

Questions

What is x in 4x + 8 = 0?

The solution of 4x + 8 = 0 is x = -2.

How do you solve 4x + 8 = 0?

Subtract 8 from both sides to get 4x = -8, then divide both sides by 4 to get x = -2.

How do I check the answer?

Replace x by -2: 4(-2) + 8 = 0, which is 0.

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    Solve 4x + 8 = 0: x = -2 (steps and check) | WordGPT