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Solve 9x + 11 = 164

The solution of 9x + 11 = 164 is x = 17.

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The lines y = 9x + 11 and y = 164 meet at x = 17121416182022100120140160180200220x = 17y = 9x + 11y = 164
The lines y = 9x + 11 and y = 164 meet at x = 17. 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 addition, then the multiplication.

    9x+11=1649x + 11 = 164
  2. 2

    Subtract 11 from both sides:

    9x+11−11=164−11 ⇒ 9x=1539x + 11 - 11 = 164 - 11 \ \Rightarrow\ 9x = 153
  3. 3

    Divide both sides by 9:

    9x9=1539 ⇒ x=17\frac{9x}{9} = \frac{153}{9} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    9⋅17+11=153+11=164✓9\cdot17 + 11 = 153 + 11 = 164 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 11 = 164\ \Rightarrow\ x = 17 \]
\[ 9x + 11 = 164 \]
\[ 9x + 11 - 11 = 164 - 11 \ \Rightarrow\ 9x = 153 \]
\[ \frac{9x}{9} = \frac{153}{9} \ \Rightarrow\ x = 17 \]
\[ 9\cdot17 + 11 = 153 + 11 = 164 \checkmark \]

Trying values of x in 9x + 11 = 164

x9x + 11Equals 164?
15146no
16155no
17164yes
18173no
19182no

Questions

What is x in 9x + 11 = 164?

The solution of 9x + 11 = 164 is x = 17.

How do you solve 9x + 11 = 164?

Subtract 11 from both sides to get 9x = 153, then divide both sides by 9 to get x = 17.

How do I check the answer?

Replace x by 17: 9(17) + 11 = 164, which is 164.

Similar equations

    Solve 9x + 11 = 164: x = 17 (steps and check) | WordGPT