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Solve 12x + 11 = 47

The solution of 12x + 11 = 47 is x = 3.

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The lines y = 12x + 11 and y = 47 meet at x = 3-22468-2020406080100120x = 3y = 12x + 11y = 47
The lines y = 12x + 11 and y = 47 meet at x = 3. 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=4712x + 11 = 47
  2. 2

    Subtract 11 from both sides:

    12x+11−11=47−11 ⇒ 12x=3612x + 11 - 11 = 47 - 11 \ \Rightarrow\ 12x = 36
  3. 3

    Divide both sides by 12:

    12x12=3612 ⇒ x=3\frac{12x}{12} = \frac{36}{12} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    12⋅3+11=36+11=47✓12\cdot3 + 11 = 36 + 11 = 47 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 11 = 47\ \Rightarrow\ x = 3 \]
\[ 12x + 11 = 47 \]
\[ 12x + 11 - 11 = 47 - 11 \ \Rightarrow\ 12x = 36 \]
\[ \frac{12x}{12} = \frac{36}{12} \ \Rightarrow\ x = 3 \]
\[ 12\cdot3 + 11 = 36 + 11 = 47 \checkmark \]

Trying values of x in 12x + 11 = 47

x12x + 11Equals 47?
123no
235no
347yes
459no
571no

Questions

What is x in 12x + 11 = 47?

The solution of 12x + 11 = 47 is x = 3.

How do you solve 12x + 11 = 47?

Subtract 11 from both sides to get 12x = 36, then divide both sides by 12 to get x = 3.

How do I check the answer?

Replace x by 3: 12(3) + 11 = 47, which is 47.

Similar equations

    Solve 12x + 11 = 47: x = 3 (steps and check) | WordGPT