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Solve 6x āˆ’ 9 = 99

The solution of 6x āˆ’ 9 = 99 is x = 18.

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The lines y = 6x āˆ’ 9 and y = 99 meet at x = 181214161820222460708090100110120130140x = 18y = 6x āˆ’ 9y = 99
The lines y = 6x āˆ’ 9 and y = 99 meet at x = 18. 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.

    6xāˆ’9=996x - 9 = 99
  2. 2

    Add 9 to both sides:

    6xāˆ’9+9=99+9Ā ā‡’Ā 6x=1086x - 9 + 9 = 99 + 9 \ \Rightarrow\ 6x = 108
  3. 3

    Divide both sides by 6:

    6x6=1086Ā ā‡’Ā x=18\frac{6x}{6} = \frac{108}{6} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    6ā‹…18āˆ’9=108āˆ’9=99āœ“6\cdot18 - 9 = 108 - 9 = 99 \checkmark
LaTeX source of the formulas on this page
\[ 6x - 9 = 99\ \Rightarrow\ x = 18 \]
\[ 6x - 9 = 99 \]
\[ 6x - 9 + 9 = 99 + 9 \ \Rightarrow\ 6x = 108 \]
\[ \frac{6x}{6} = \frac{108}{6} \ \Rightarrow\ x = 18 \]
\[ 6\cdot18 - 9 = 108 - 9 = 99 \checkmark \]

Trying values of x in 6x āˆ’ 9 = 99

x6x āˆ’ 9Equals 99?
1687no
1793no
1899yes
19105no
20111no

Questions

What is x in 6x āˆ’ 9 = 99?

The solution of 6x āˆ’ 9 = 99 is x = 18.

How do you solve 6x āˆ’ 9 = 99?

Add 9 to both sides to get 6x = 108, then divide both sides by 6 to get x = 18.

How do I check the answer?

Replace x by 18: 6(18) āˆ’ 9 = 99, which is 99.

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    Solve 6x āˆ’ 9 = 99: x = 18 (steps and check) | WordGPT