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Solve 12x + 11 = 227

The solution of 12x + 11 = 227 is x = 18.

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The lines y = 12x + 11 and y = 227 meet at x = 1812141618202224160180200220240260280300x = 18y = 12x + 11y = 227
The lines y = 12x + 11 and y = 227 meet at x = 18. 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=22712x + 11 = 227
  2. 2

    Subtract 11 from both sides:

    12x+11−11=227−11 ⇒ 12x=21612x + 11 - 11 = 227 - 11 \ \Rightarrow\ 12x = 216
  3. 3

    Divide both sides by 12:

    12x12=21612 ⇒ x=18\frac{12x}{12} = \frac{216}{12} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    12⋅18+11=216+11=227✓12\cdot18 + 11 = 216 + 11 = 227 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 11 = 227\ \Rightarrow\ x = 18 \]
\[ 12x + 11 = 227 \]
\[ 12x + 11 - 11 = 227 - 11 \ \Rightarrow\ 12x = 216 \]
\[ \frac{12x}{12} = \frac{216}{12} \ \Rightarrow\ x = 18 \]
\[ 12\cdot18 + 11 = 216 + 11 = 227 \checkmark \]

Trying values of x in 12x + 11 = 227

x12x + 11Equals 227?
16203no
17215no
18227yes
19239no
20251no

Questions

What is x in 12x + 11 = 227?

The solution of 12x + 11 = 227 is x = 18.

How do you solve 12x + 11 = 227?

Subtract 11 from both sides to get 12x = 216, then divide both sides by 12 to get x = 18.

How do I check the answer?

Replace x by 18: 12(18) + 11 = 227, which is 227.

Similar equations

    Solve 12x + 11 = 227: x = 18 (steps and check) | WordGPT