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Solve 6x + 6 = 0

The solution of 6x + 6 = 0 is x = -1.

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The lines y = 6x + 6 and y = 0 meet at x = -1-6-4-224-40-30-20-1010203040x = -1y = 6x + 6y = 0
The lines y = 6x + 6 and y = 0 meet at x = -1. 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+6=06x + 6 = 0
  2. 2

    Subtract 6 from both sides:

    6x+6āˆ’6=0āˆ’6Ā ā‡’Ā 6x=āˆ’66x + 6 - 6 = 0 - 6 \ \Rightarrow\ 6x = -6
  3. 3

    Divide both sides by 6:

    6x6=āˆ’66Ā ā‡’Ā x=āˆ’1\frac{6x}{6} = \frac{-6}{6} \ \Rightarrow\ x = -1
  4. 4

    Check: put x = -1 back into the equation.

    6ā‹…(āˆ’1)+6=āˆ’6+6=0āœ“6\cdot(-1) + 6 = -6 + 6 = 0 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 6 = 0\ \Rightarrow\ x = -1 \]
\[ 6x + 6 = 0 \]
\[ 6x + 6 - 6 = 0 - 6 \ \Rightarrow\ 6x = -6 \]
\[ \frac{6x}{6} = \frac{-6}{6} \ \Rightarrow\ x = -1 \]
\[ 6\cdot(-1) + 6 = -6 + 6 = 0 \checkmark \]

Trying values of x in 6x + 6 = 0

x6x + 6Equals 0?
-3-12no
-2-6no
-10yes
06no
112no

Questions

What is x in 6x + 6 = 0?

The solution of 6x + 6 = 0 is x = -1.

How do you solve 6x + 6 = 0?

Subtract 6 from both sides to get 6x = -6, then divide both sides by 6 to get x = -1.

How do I check the answer?

Replace x by -1: 6(-1) + 6 = 0, which is 0.

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