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Solve 9x āˆ’ 11 = 52

The solution of 9x āˆ’ 11 = 52 is x = 7.

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The lines y = 9x āˆ’ 11 and y = 52 meet at x = 72468101220406080100x = 7y = 9x āˆ’ 11y = 52
The lines y = 9x āˆ’ 11 and y = 52 meet at x = 7. 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.

    9xāˆ’11=529x - 11 = 52
  2. 2

    Add 11 to both sides:

    9xāˆ’11+11=52+11Ā ā‡’Ā 9x=639x - 11 + 11 = 52 + 11 \ \Rightarrow\ 9x = 63
  3. 3

    Divide both sides by 9:

    9x9=639Ā ā‡’Ā x=7\frac{9x}{9} = \frac{63}{9} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    9ā‹…7āˆ’11=63āˆ’11=52āœ“9\cdot7 - 11 = 63 - 11 = 52 \checkmark
LaTeX source of the formulas on this page
\[ 9x - 11 = 52\ \Rightarrow\ x = 7 \]
\[ 9x - 11 = 52 \]
\[ 9x - 11 + 11 = 52 + 11 \ \Rightarrow\ 9x = 63 \]
\[ \frac{9x}{9} = \frac{63}{9} \ \Rightarrow\ x = 7 \]
\[ 9\cdot7 - 11 = 63 - 11 = 52 \checkmark \]

Trying values of x in 9x āˆ’ 11 = 52

x9x āˆ’ 11Equals 52?
534no
643no
752yes
861no
970no

Questions

What is x in 9x āˆ’ 11 = 52?

The solution of 9x āˆ’ 11 = 52 is x = 7.

How do you solve 9x āˆ’ 11 = 52?

Add 11 to both sides to get 9x = 63, then divide both sides by 9 to get x = 7.

How do I check the answer?

Replace x by 7: 9(7) āˆ’ 11 = 52, which is 52.

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