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Solve 12x + 13 = 49

The solution of 12x + 13 = 49 is x = 3.

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The lines y = 12x + 13 and y = 49 meet at x = 3-22468-2020406080100120x = 3y = 12x + 13y = 49
The lines y = 12x + 13 and y = 49 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+13=4912x + 13 = 49
  2. 2

    Subtract 13 from both sides:

    12x+13−13=49−13 ⇒ 12x=3612x + 13 - 13 = 49 - 13 \ \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+13=36+13=49✓12\cdot3 + 13 = 36 + 13 = 49 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 13 = 49\ \Rightarrow\ x = 3 \]
\[ 12x + 13 = 49 \]
\[ 12x + 13 - 13 = 49 - 13 \ \Rightarrow\ 12x = 36 \]
\[ \frac{12x}{12} = \frac{36}{12} \ \Rightarrow\ x = 3 \]
\[ 12\cdot3 + 13 = 36 + 13 = 49 \checkmark \]

Trying values of x in 12x + 13 = 49

x12x + 13Equals 49?
125no
237no
349yes
461no
573no

Questions

What is x in 12x + 13 = 49?

The solution of 12x + 13 = 49 is x = 3.

How do you solve 12x + 13 = 49?

Subtract 13 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) + 13 = 49, which is 49.

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    Solve 12x + 13 = 49: x = 3 (steps and check) | WordGPT