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Solve 12x + 11 = 191

The solution of 12x + 11 = 191 is x = 15.

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The lines y = 12x + 11 and y = 191 meet at x = 15101214161820120140160180200220240260x = 15y = 12x + 11y = 191
The lines y = 12x + 11 and y = 191 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+11=19112x + 11 = 191
  2. 2

    Subtract 11 from both sides:

    12x+11−11=191−11 ⇒ 12x=18012x + 11 - 11 = 191 - 11 \ \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+11=180+11=191✓12\cdot15 + 11 = 180 + 11 = 191 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 11 = 191\ \Rightarrow\ x = 15 \]
\[ 12x + 11 = 191 \]
\[ 12x + 11 - 11 = 191 - 11 \ \Rightarrow\ 12x = 180 \]
\[ \frac{12x}{12} = \frac{180}{12} \ \Rightarrow\ x = 15 \]
\[ 12\cdot15 + 11 = 180 + 11 = 191 \checkmark \]

Trying values of x in 12x + 11 = 191

x12x + 11Equals 191?
13167no
14179no
15191yes
16203no
17215no

Questions

What is x in 12x + 11 = 191?

The solution of 12x + 11 = 191 is x = 15.

How do you solve 12x + 11 = 191?

Subtract 11 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) + 11 = 191, which is 191.

Similar equations

    Solve 12x + 11 = 191: x = 15 (steps and check) | WordGPT