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Solve 11x āˆ’ 14 = 52

The solution of 11x āˆ’ 14 = 52 is x = 6.

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The lines y = 11x āˆ’ 14 and y = 52 meet at x = 624681012-2020406080100120x = 6y = 11x āˆ’ 14y = 52
The lines y = 11x āˆ’ 14 and y = 52 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’14=5211x - 14 = 52
  2. 2

    Add 14 to both sides:

    11xāˆ’14+14=52+14Ā ā‡’Ā 11x=6611x - 14 + 14 = 52 + 14 \ \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’14=66āˆ’14=52āœ“11\cdot6 - 14 = 66 - 14 = 52 \checkmark
LaTeX source of the formulas on this page
\[ 11x - 14 = 52\ \Rightarrow\ x = 6 \]
\[ 11x - 14 = 52 \]
\[ 11x - 14 + 14 = 52 + 14 \ \Rightarrow\ 11x = 66 \]
\[ \frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6 \]
\[ 11\cdot6 - 14 = 66 - 14 = 52 \checkmark \]

Trying values of x in 11x āˆ’ 14 = 52

x11x āˆ’ 14Equals 52?
430no
541no
652yes
763no
874no

Questions

What is x in 11x āˆ’ 14 = 52?

The solution of 11x āˆ’ 14 = 52 is x = 6.

How do you solve 11x āˆ’ 14 = 52?

Add 14 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’ 14 = 52, which is 52.

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