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Solve 12x + 13 = 241

The solution of 12x + 13 = 241 is x = 19.

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The lines y = 12x + 13 and y = 241 meet at x = 19141618202224160180200220240260280300320x = 19y = 12x + 13y = 241
The lines y = 12x + 13 and y = 241 meet at x = 19. 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=24112x + 13 = 241
  2. 2

    Subtract 13 from both sides:

    12x+13−13=241−13 ⇒ 12x=22812x + 13 - 13 = 241 - 13 \ \Rightarrow\ 12x = 228
  3. 3

    Divide both sides by 12:

    12x12=22812 ⇒ x=19\frac{12x}{12} = \frac{228}{12} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    12⋅19+13=228+13=241✓12\cdot19 + 13 = 228 + 13 = 241 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 13 = 241\ \Rightarrow\ x = 19 \]
\[ 12x + 13 = 241 \]
\[ 12x + 13 - 13 = 241 - 13 \ \Rightarrow\ 12x = 228 \]
\[ \frac{12x}{12} = \frac{228}{12} \ \Rightarrow\ x = 19 \]
\[ 12\cdot19 + 13 = 228 + 13 = 241 \checkmark \]

Trying values of x in 12x + 13 = 241

x12x + 13Equals 241?
17217no
18229no
19241yes
20253no
21265no

Questions

What is x in 12x + 13 = 241?

The solution of 12x + 13 = 241 is x = 19.

How do you solve 12x + 13 = 241?

Subtract 13 from both sides to get 12x = 228, then divide both sides by 12 to get x = 19.

How do I check the answer?

Replace x by 19: 12(19) + 13 = 241, which is 241.

Similar equations

    Solve 12x + 13 = 241: x = 19 (steps and check) | WordGPT