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Solve 12x + 13 = 193

The solution of 12x + 13 = 193 is x = 15.

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The lines y = 12x + 13 and y = 193 meet at x = 15101214161820120140160180200220240260280x = 15y = 12x + 13y = 193
The lines y = 12x + 13 and y = 193 meet at x = 15. 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=19312x + 13 = 193
  2. 2

    Subtract 13 from both sides:

    12x+13−13=193−13 ⇒ 12x=18012x + 13 - 13 = 193 - 13 \ \Rightarrow\ 12x = 180
  3. 3

    Divide both sides by 12:

    12x12=18012 ⇒ x=15\frac{12x}{12} = \frac{180}{12} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    12⋅15+13=180+13=193✓12\cdot15 + 13 = 180 + 13 = 193 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 13 = 193\ \Rightarrow\ x = 15 \]
\[ 12x + 13 = 193 \]
\[ 12x + 13 - 13 = 193 - 13 \ \Rightarrow\ 12x = 180 \]
\[ \frac{12x}{12} = \frac{180}{12} \ \Rightarrow\ x = 15 \]
\[ 12\cdot15 + 13 = 180 + 13 = 193 \checkmark \]

Trying values of x in 12x + 13 = 193

x12x + 13Equals 193?
13169no
14181no
15193yes
16205no
17217no

Questions

What is x in 12x + 13 = 193?

The solution of 12x + 13 = 193 is x = 15.

How do you solve 12x + 13 = 193?

Subtract 13 from both sides to get 12x = 180, then divide both sides by 12 to get x = 15.

How do I check the answer?

Replace x by 15: 12(15) + 13 = 193, which is 193.

Similar equations

    Solve 12x + 13 = 193: x = 15 (steps and check) | WordGPT