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Solve 9x āˆ’ 14 = 67

The solution of 9x āˆ’ 14 = 67 is x = 9.

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The lines y = 9x āˆ’ 14 and y = 67 meet at x = 946810121420406080100120x = 9y = 9x āˆ’ 14y = 67
The lines y = 9x āˆ’ 14 and y = 67 meet at x = 9. 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’14=679x - 14 = 67
  2. 2

    Add 14 to both sides:

    9xāˆ’14+14=67+14Ā ā‡’Ā 9x=819x - 14 + 14 = 67 + 14 \ \Rightarrow\ 9x = 81
  3. 3

    Divide both sides by 9:

    9x9=819Ā ā‡’Ā x=9\frac{9x}{9} = \frac{81}{9} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    9ā‹…9āˆ’14=81āˆ’14=67āœ“9\cdot9 - 14 = 81 - 14 = 67 \checkmark
LaTeX source of the formulas on this page
\[ 9x - 14 = 67\ \Rightarrow\ x = 9 \]
\[ 9x - 14 = 67 \]
\[ 9x - 14 + 14 = 67 + 14 \ \Rightarrow\ 9x = 81 \]
\[ \frac{9x}{9} = \frac{81}{9} \ \Rightarrow\ x = 9 \]
\[ 9\cdot9 - 14 = 81 - 14 = 67 \checkmark \]

Trying values of x in 9x āˆ’ 14 = 67

x9x āˆ’ 14Equals 67?
749no
858no
967yes
1076no
1185no

Questions

What is x in 9x āˆ’ 14 = 67?

The solution of 9x āˆ’ 14 = 67 is x = 9.

How do you solve 9x āˆ’ 14 = 67?

Add 14 to both sides to get 9x = 81, then divide both sides by 9 to get x = 9.

How do I check the answer?

Replace x by 9: 9(9) āˆ’ 14 = 67, which is 67.

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