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Solve 11x āˆ’ 11 = 55

The solution of 11x āˆ’ 11 = 55 is x = 6.

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The lines y = 11x āˆ’ 11 and y = 55 meet at x = 624681012-2020406080100120x = 6y = 11x āˆ’ 11y = 55
The lines y = 11x āˆ’ 11 and y = 55 meet at x = 6. 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 subtraction, then the multiplication.

    11xāˆ’11=5511x - 11 = 55
  2. 2

    Add 11 to both sides:

    11xāˆ’11+11=55+11Ā ā‡’Ā 11x=6611x - 11 + 11 = 55 + 11 \ \Rightarrow\ 11x = 66
  3. 3

    Divide both sides by 11:

    11x11=6611Ā ā‡’Ā x=6\frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    11ā‹…6āˆ’11=66āˆ’11=55āœ“11\cdot6 - 11 = 66 - 11 = 55 \checkmark
LaTeX source of the formulas on this page
\[ 11x - 11 = 55\ \Rightarrow\ x = 6 \]
\[ 11x - 11 = 55 \]
\[ 11x - 11 + 11 = 55 + 11 \ \Rightarrow\ 11x = 66 \]
\[ \frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6 \]
\[ 11\cdot6 - 11 = 66 - 11 = 55 \checkmark \]

Trying values of x in 11x āˆ’ 11 = 55

x11x āˆ’ 11Equals 55?
433no
544no
655yes
766no
877no

Questions

What is x in 11x āˆ’ 11 = 55?

The solution of 11x āˆ’ 11 = 55 is x = 6.

How do you solve 11x āˆ’ 11 = 55?

Add 11 to both sides to get 11x = 66, then divide both sides by 11 to get x = 6.

How do I check the answer?

Replace x by 6: 11(6) āˆ’ 11 = 55, which is 55.

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