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Solve 3x + 12 = 0

The solution of 3x + 12 = 0 is x = -4.

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The lines y = 3x + 12 and y = 0 meet at x = -4-10-8-6-4-22-20-15-10-55101520x = -4y = 3x + 12y = 0
The lines y = 3x + 12 and y = 0 meet at x = -4. 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+12=03x + 12 = 0
  2. 2

    Subtract 12 from both sides:

    3x+12āˆ’12=0āˆ’12Ā ā‡’Ā 3x=āˆ’123x + 12 - 12 = 0 - 12 \ \Rightarrow\ 3x = -12
  3. 3

    Divide both sides by 3:

    3x3=āˆ’123Ā ā‡’Ā x=āˆ’4\frac{3x}{3} = \frac{-12}{3} \ \Rightarrow\ x = -4
  4. 4

    Check: put x = -4 back into the equation.

    3ā‹…(āˆ’4)+12=āˆ’12+12=0āœ“3\cdot(-4) + 12 = -12 + 12 = 0 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 12 = 0\ \Rightarrow\ x = -4 \]
\[ 3x + 12 = 0 \]
\[ 3x + 12 - 12 = 0 - 12 \ \Rightarrow\ 3x = -12 \]
\[ \frac{3x}{3} = \frac{-12}{3} \ \Rightarrow\ x = -4 \]
\[ 3\cdot(-4) + 12 = -12 + 12 = 0 \checkmark \]

Trying values of x in 3x + 12 = 0

x3x + 12Equals 0?
-6-6no
-5-3no
-40yes
-33no
-26no

Questions

What is x in 3x + 12 = 0?

The solution of 3x + 12 = 0 is x = -4.

How do you solve 3x + 12 = 0?

Subtract 12 from both sides to get 3x = -12, then divide both sides by 3 to get x = -4.

How do I check the answer?

Replace x by -4: 3(-4) + 12 = 0, which is 0.

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    Solve 3x + 12 = 0: x = -4 (steps and check) | WordGPT