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Solve 11x + 11 = 0

The solution of 11x + 11 = 0 is x = -1.

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The lines y = 11x + 11 and y = 0 meet at x = -1-6-4-224-60-40-20204060x = -1y = 11x + 11y = 0
The lines y = 11x + 11 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.

    11x+11=011x + 11 = 0
  2. 2

    Subtract 11 from both sides:

    11x+11āˆ’11=0āˆ’11Ā ā‡’Ā 11x=āˆ’1111x + 11 - 11 = 0 - 11 \ \Rightarrow\ 11x = -11
  3. 3

    Divide both sides by 11:

    11x11=āˆ’1111Ā ā‡’Ā x=āˆ’1\frac{11x}{11} = \frac{-11}{11} \ \Rightarrow\ x = -1
  4. 4

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

    11ā‹…(āˆ’1)+11=āˆ’11+11=0āœ“11\cdot(-1) + 11 = -11 + 11 = 0 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 11 = 0\ \Rightarrow\ x = -1 \]
\[ 11x + 11 = 0 \]
\[ 11x + 11 - 11 = 0 - 11 \ \Rightarrow\ 11x = -11 \]
\[ \frac{11x}{11} = \frac{-11}{11} \ \Rightarrow\ x = -1 \]
\[ 11\cdot(-1) + 11 = -11 + 11 = 0 \checkmark \]

Trying values of x in 11x + 11 = 0

x11x + 11Equals 0?
-3-22no
-2-11no
-10yes
011no
122no

Questions

What is x in 11x + 11 = 0?

The solution of 11x + 11 = 0 is x = -1.

How do you solve 11x + 11 = 0?

Subtract 11 from both sides to get 11x = -11, then divide both sides by 11 to get x = -1.

How do I check the answer?

Replace x by -1: 11(-1) + 11 = 0, which is 0.

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