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Solve 12x + 9 = 117

The solution of 12x + 9 = 117 is x = 9.

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The lines y = 12x + 9 and y = 117 meet at x = 9468101214406080100120140160180200x = 9y = 12x + 9y = 117
The lines y = 12x + 9 and y = 117 meet at x = 9. 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=11712x + 9 = 117
  2. 2

    Subtract 9 from both sides:

    12x+9−9=117−9 ⇒ 12x=10812x + 9 - 9 = 117 - 9 \ \Rightarrow\ 12x = 108
  3. 3

    Divide both sides by 12:

    12x12=10812 ⇒ x=9\frac{12x}{12} = \frac{108}{12} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    12⋅9+9=108+9=117✓12\cdot9 + 9 = 108 + 9 = 117 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 9 = 117\ \Rightarrow\ x = 9 \]
\[ 12x + 9 = 117 \]
\[ 12x + 9 - 9 = 117 - 9 \ \Rightarrow\ 12x = 108 \]
\[ \frac{12x}{12} = \frac{108}{12} \ \Rightarrow\ x = 9 \]
\[ 12\cdot9 + 9 = 108 + 9 = 117 \checkmark \]

Trying values of x in 12x + 9 = 117

x12x + 9Equals 117?
793no
8105no
9117yes
10129no
11141no

Questions

What is x in 12x + 9 = 117?

The solution of 12x + 9 = 117 is x = 9.

How do you solve 12x + 9 = 117?

Subtract 9 from both sides to get 12x = 108, then divide both sides by 12 to get x = 9.

How do I check the answer?

Replace x by 9: 12(9) + 9 = 117, which is 117.

Similar equations

    Solve 12x + 9 = 117: x = 9 (steps and check) | WordGPT