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Solve 11x + 9 = 185

The solution of 11x + 9 = 185 is x = 16.

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The lines y = 11x + 9 and y = 185 meet at x = 1610121416182022120140160180200220240260x = 16y = 11x + 9y = 185
The lines y = 11x + 9 and y = 185 meet at x = 16. 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.

    11x+9=18511x + 9 = 185
  2. 2

    Subtract 9 from both sides:

    11x+9−9=185−9 ⇒ 11x=17611x + 9 - 9 = 185 - 9 \ \Rightarrow\ 11x = 176
  3. 3

    Divide both sides by 11:

    11x11=17611 ⇒ x=16\frac{11x}{11} = \frac{176}{11} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    11⋅16+9=176+9=185✓11\cdot16 + 9 = 176 + 9 = 185 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 9 = 185\ \Rightarrow\ x = 16 \]
\[ 11x + 9 = 185 \]
\[ 11x + 9 - 9 = 185 - 9 \ \Rightarrow\ 11x = 176 \]
\[ \frac{11x}{11} = \frac{176}{11} \ \Rightarrow\ x = 16 \]
\[ 11\cdot16 + 9 = 176 + 9 = 185 \checkmark \]

Trying values of x in 11x + 9 = 185

x11x + 9Equals 185?
14163no
15174no
16185yes
17196no
18207no

Questions

What is x in 11x + 9 = 185?

The solution of 11x + 9 = 185 is x = 16.

How do you solve 11x + 9 = 185?

Subtract 9 from both sides to get 11x = 176, then divide both sides by 11 to get x = 16.

How do I check the answer?

Replace x by 16: 11(16) + 9 = 185, which is 185.

Similar equations

    Solve 11x + 9 = 185: x = 16 (steps and check) | WordGPT