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Solve 9x + 13 = 166

The solution of 9x + 13 = 166 is x = 17.

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The lines y = 9x + 13 and y = 166 meet at x = 17121416182022120140160180200220x = 17y = 9x + 13y = 166
The lines y = 9x + 13 and y = 166 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+13=1669x + 13 = 166
  2. 2

    Subtract 13 from both sides:

    9x+13−13=166−13 ⇒ 9x=1539x + 13 - 13 = 166 - 13 \ \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+13=153+13=166✓9\cdot17 + 13 = 153 + 13 = 166 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 13 = 166\ \Rightarrow\ x = 17 \]
\[ 9x + 13 = 166 \]
\[ 9x + 13 - 13 = 166 - 13 \ \Rightarrow\ 9x = 153 \]
\[ \frac{9x}{9} = \frac{153}{9} \ \Rightarrow\ x = 17 \]
\[ 9\cdot17 + 13 = 153 + 13 = 166 \checkmark \]

Trying values of x in 9x + 13 = 166

x9x + 13Equals 166?
15148no
16157no
17166yes
18175no
19184no

Questions

What is x in 9x + 13 = 166?

The solution of 9x + 13 = 166 is x = 17.

How do you solve 9x + 13 = 166?

Subtract 13 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) + 13 = 166, which is 166.

Similar equations

    Solve 9x + 13 = 166: x = 17 (steps and check) | WordGPT