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Solve 3x + 6 = 0

The solution of 3x + 6 = 0 is x = -2.

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The lines y = 3x + 6 and y = 0 meet at x = -2-8-6-4-224-20-15-10-55101520x = -2y = 3x + 6y = 0
The lines y = 3x + 6 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.

    3x+6=03x + 6 = 0
  2. 2

    Subtract 6 from both sides:

    3x+6āˆ’6=0āˆ’6Ā ā‡’Ā 3x=āˆ’63x + 6 - 6 = 0 - 6 \ \Rightarrow\ 3x = -6
  3. 3

    Divide both sides by 3:

    3x3=āˆ’63Ā ā‡’Ā x=āˆ’2\frac{3x}{3} = \frac{-6}{3} \ \Rightarrow\ x = -2
  4. 4

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

    3ā‹…(āˆ’2)+6=āˆ’6+6=0āœ“3\cdot(-2) + 6 = -6 + 6 = 0 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 6 = 0\ \Rightarrow\ x = -2 \]
\[ 3x + 6 = 0 \]
\[ 3x + 6 - 6 = 0 - 6 \ \Rightarrow\ 3x = -6 \]
\[ \frac{3x}{3} = \frac{-6}{3} \ \Rightarrow\ x = -2 \]
\[ 3\cdot(-2) + 6 = -6 + 6 = 0 \checkmark \]

Trying values of x in 3x + 6 = 0

x3x + 6Equals 0?
-4-6no
-3-3no
-20yes
-13no
06no

Questions

What is x in 3x + 6 = 0?

The solution of 3x + 6 = 0 is x = -2.

How do you solve 3x + 6 = 0?

Subtract 6 from both sides to get 3x = -6, then divide both sides by 3 to get x = -2.

How do I check the answer?

Replace x by -2: 3(-2) + 6 = 0, which is 0.

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    Solve 3x + 6 = 0: x = -2 (steps and check) | WordGPT