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Solve 12x + 1 = 181

The solution of 12x + 1 = 181 is x = 15.

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The lines y = 12x + 1 and y = 181 meet at x = 15101214161820100120140160180200220240260x = 15y = 12x + 1y = 181
The lines y = 12x + 1 and y = 181 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+1=18112x + 1 = 181
  2. 2

    Subtract 1 from both sides:

    12x+1−1=181−1 ⇒ 12x=18012x + 1 - 1 = 181 - 1 \ \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+1=180+1=181✓12\cdot15 + 1 = 180 + 1 = 181 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 1 = 181\ \Rightarrow\ x = 15 \]
\[ 12x + 1 = 181 \]
\[ 12x + 1 - 1 = 181 - 1 \ \Rightarrow\ 12x = 180 \]
\[ \frac{12x}{12} = \frac{180}{12} \ \Rightarrow\ x = 15 \]
\[ 12\cdot15 + 1 = 180 + 1 = 181 \checkmark \]

Trying values of x in 12x + 1 = 181

x12x + 1Equals 181?
13157no
14169no
15181yes
16193no
17205no

Questions

What is x in 12x + 1 = 181?

The solution of 12x + 1 = 181 is x = 15.

How do you solve 12x + 1 = 181?

Subtract 1 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) + 1 = 181, which is 181.

Similar equations

    Solve 12x + 1 = 181: x = 15 (steps and check) | WordGPT