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Solve 6x + 12 = 0

The solution of 6x + 12 = 0 is x = -2.

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The lines y = 6x + 12 and y = 0 meet at x = -2-8-6-4-224-40-30-20-1010203040x = -2y = 6x + 12y = 0
The lines y = 6x + 12 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.

    6x+12=06x + 12 = 0
  2. 2

    Subtract 12 from both sides:

    6x+12āˆ’12=0āˆ’12Ā ā‡’Ā 6x=āˆ’126x + 12 - 12 = 0 - 12 \ \Rightarrow\ 6x = -12
  3. 3

    Divide both sides by 6:

    6x6=āˆ’126Ā ā‡’Ā x=āˆ’2\frac{6x}{6} = \frac{-12}{6} \ \Rightarrow\ x = -2
  4. 4

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

    6ā‹…(āˆ’2)+12=āˆ’12+12=0āœ“6\cdot(-2) + 12 = -12 + 12 = 0 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 12 = 0\ \Rightarrow\ x = -2 \]
\[ 6x + 12 = 0 \]
\[ 6x + 12 - 12 = 0 - 12 \ \Rightarrow\ 6x = -12 \]
\[ \frac{6x}{6} = \frac{-12}{6} \ \Rightarrow\ x = -2 \]
\[ 6\cdot(-2) + 12 = -12 + 12 = 0 \checkmark \]

Trying values of x in 6x + 12 = 0

x6x + 12Equals 0?
-4-12no
-3-6no
-20yes
-16no
012no

Questions

What is x in 6x + 12 = 0?

The solution of 6x + 12 = 0 is x = -2.

How do you solve 6x + 12 = 0?

Subtract 12 from both sides to get 6x = -12, then divide both sides by 6 to get x = -2.

How do I check the answer?

Replace x by -2: 6(-2) + 12 = 0, which is 0.

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    Solve 6x + 12 = 0: x = -2 (steps and check) | WordGPT