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Solve 12x + 5 = 41

The solution of 12x + 5 = 41 is x = 3.

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The lines y = 12x + 5 and y = 41 meet at x = 3-22468-40-2020406080100120x = 3y = 12x + 5y = 41
The lines y = 12x + 5 and y = 41 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+5=4112x + 5 = 41
  2. 2

    Subtract 5 from both sides:

    12x+5−5=41−5 ⇒ 12x=3612x + 5 - 5 = 41 - 5 \ \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+5=36+5=41✓12\cdot3 + 5 = 36 + 5 = 41 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 5 = 41\ \Rightarrow\ x = 3 \]
\[ 12x + 5 = 41 \]
\[ 12x + 5 - 5 = 41 - 5 \ \Rightarrow\ 12x = 36 \]
\[ \frac{12x}{12} = \frac{36}{12} \ \Rightarrow\ x = 3 \]
\[ 12\cdot3 + 5 = 36 + 5 = 41 \checkmark \]

Trying values of x in 12x + 5 = 41

x12x + 5Equals 41?
117no
229no
341yes
453no
565no

Questions

What is x in 12x + 5 = 41?

The solution of 12x + 5 = 41 is x = 3.

How do you solve 12x + 5 = 41?

Subtract 5 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) + 5 = 41, which is 41.

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    Solve 12x + 5 = 41: x = 3 (steps and check) | WordGPT