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Solve 12x + 9 = 165

The solution of 12x + 9 = 165 is x = 13.

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The lines y = 12x + 9 and y = 165 meet at x = 138101214161880100120140160180200220240x = 13y = 12x + 9y = 165
The lines y = 12x + 9 and y = 165 meet at x = 13. 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.

    12x+9=16512x + 9 = 165
  2. 2

    Subtract 9 from both sides:

    12x+9−9=165−9 ⇒ 12x=15612x + 9 - 9 = 165 - 9 \ \Rightarrow\ 12x = 156
  3. 3

    Divide both sides by 12:

    12x12=15612 ⇒ x=13\frac{12x}{12} = \frac{156}{12} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    12⋅13+9=156+9=165✓12\cdot13 + 9 = 156 + 9 = 165 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 9 = 165\ \Rightarrow\ x = 13 \]
\[ 12x + 9 = 165 \]
\[ 12x + 9 - 9 = 165 - 9 \ \Rightarrow\ 12x = 156 \]
\[ \frac{12x}{12} = \frac{156}{12} \ \Rightarrow\ x = 13 \]
\[ 12\cdot13 + 9 = 156 + 9 = 165 \checkmark \]

Trying values of x in 12x + 9 = 165

x12x + 9Equals 165?
11141no
12153no
13165yes
14177no
15189no

Questions

What is x in 12x + 9 = 165?

The solution of 12x + 9 = 165 is x = 13.

How do you solve 12x + 9 = 165?

Subtract 9 from both sides to get 12x = 156, then divide both sides by 12 to get x = 13.

How do I check the answer?

Replace x by 13: 12(13) + 9 = 165, which is 165.

Similar equations

    Solve 12x + 9 = 165: x = 13 (steps and check) | WordGPT