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Solve 12x + 1 = 109

The solution of 12x + 1 = 109 is x = 9.

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The lines y = 12x + 1 and y = 109 meet at x = 9468101214406080100120140160180x = 9y = 12x + 1y = 109
The lines y = 12x + 1 and y = 109 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+1=10912x + 1 = 109
  2. 2

    Subtract 1 from both sides:

    12x+1−1=109−1 ⇒ 12x=10812x + 1 - 1 = 109 - 1 \ \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+1=108+1=109✓12\cdot9 + 1 = 108 + 1 = 109 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 1 = 109\ \Rightarrow\ x = 9 \]
\[ 12x + 1 = 109 \]
\[ 12x + 1 - 1 = 109 - 1 \ \Rightarrow\ 12x = 108 \]
\[ \frac{12x}{12} = \frac{108}{12} \ \Rightarrow\ x = 9 \]
\[ 12\cdot9 + 1 = 108 + 1 = 109 \checkmark \]

Trying values of x in 12x + 1 = 109

x12x + 1Equals 109?
785no
897no
9109yes
10121no
11133no

Questions

What is x in 12x + 1 = 109?

The solution of 12x + 1 = 109 is x = 9.

How do you solve 12x + 1 = 109?

Subtract 1 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) + 1 = 109, which is 109.

Similar equations

    Solve 12x + 1 = 109: x = 9 (steps and check) | WordGPT