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Solve 12x + 13 = 109

The solution of 12x + 13 = 109 is x = 8.

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The lines y = 12x + 13 and y = 109 meet at x = 82468101214406080100120140160180x = 8y = 12x + 13y = 109
The lines y = 12x + 13 and y = 109 meet at x = 8. 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+13=10912x + 13 = 109
  2. 2

    Subtract 13 from both sides:

    12x+13−13=109−13 ⇒ 12x=9612x + 13 - 13 = 109 - 13 \ \Rightarrow\ 12x = 96
  3. 3

    Divide both sides by 12:

    12x12=9612 ⇒ x=8\frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    12⋅8+13=96+13=109✓12\cdot8 + 13 = 96 + 13 = 109 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 13 = 109\ \Rightarrow\ x = 8 \]
\[ 12x + 13 = 109 \]
\[ 12x + 13 - 13 = 109 - 13 \ \Rightarrow\ 12x = 96 \]
\[ \frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8 \]
\[ 12\cdot8 + 13 = 96 + 13 = 109 \checkmark \]

Trying values of x in 12x + 13 = 109

x12x + 13Equals 109?
685no
797no
8109yes
9121no
10133no

Questions

What is x in 12x + 13 = 109?

The solution of 12x + 13 = 109 is x = 8.

How do you solve 12x + 13 = 109?

Subtract 13 from both sides to get 12x = 96, then divide both sides by 12 to get x = 8.

How do I check the answer?

Replace x by 8: 12(8) + 13 = 109, which is 109.

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    Solve 12x + 13 = 109: x = 8 (steps and check) | WordGPT