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Solve 12x + 11 = 131

The solution of 12x + 11 = 131 is x = 10.

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The lines y = 12x + 11 and y = 131 meet at x = 10468101214166080100120140160180200x = 10y = 12x + 11y = 131
The lines y = 12x + 11 and y = 131 meet at x = 10. 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=13112x + 11 = 131
  2. 2

    Subtract 11 from both sides:

    12x+11−11=131−11 ⇒ 12x=12012x + 11 - 11 = 131 - 11 \ \Rightarrow\ 12x = 120
  3. 3

    Divide both sides by 12:

    12x12=12012 ⇒ x=10\frac{12x}{12} = \frac{120}{12} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    12⋅10+11=120+11=131✓12\cdot10 + 11 = 120 + 11 = 131 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 11 = 131\ \Rightarrow\ x = 10 \]
\[ 12x + 11 = 131 \]
\[ 12x + 11 - 11 = 131 - 11 \ \Rightarrow\ 12x = 120 \]
\[ \frac{12x}{12} = \frac{120}{12} \ \Rightarrow\ x = 10 \]
\[ 12\cdot10 + 11 = 120 + 11 = 131 \checkmark \]

Trying values of x in 12x + 11 = 131

x12x + 11Equals 131?
8107no
9119no
10131yes
11143no
12155no

Questions

What is x in 12x + 11 = 131?

The solution of 12x + 11 = 131 is x = 10.

How do you solve 12x + 11 = 131?

Subtract 11 from both sides to get 12x = 120, then divide both sides by 12 to get x = 10.

How do I check the answer?

Replace x by 10: 12(10) + 11 = 131, which is 131.

Similar equations

    Solve 12x + 11 = 131: x = 10 (steps and check) | WordGPT