WordGPT

Solve 12x + 13 = 217

The solution of 12x + 13 = 217 is x = 17.

Explain it step by step in chatMake a short video of it
The lines y = 12x + 13 and y = 217 meet at x = 17121416182022140160180200220240260280300x = 17y = 12x + 13y = 217
The lines y = 12x + 13 and y = 217 meet at x = 17. 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=21712x + 13 = 217
  2. 2

    Subtract 13 from both sides:

    12x+13−13=217−13 ⇒ 12x=20412x + 13 - 13 = 217 - 13 \ \Rightarrow\ 12x = 204
  3. 3

    Divide both sides by 12:

    12x12=20412 ⇒ x=17\frac{12x}{12} = \frac{204}{12} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    12⋅17+13=204+13=217✓12\cdot17 + 13 = 204 + 13 = 217 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 13 = 217\ \Rightarrow\ x = 17 \]
\[ 12x + 13 = 217 \]
\[ 12x + 13 - 13 = 217 - 13 \ \Rightarrow\ 12x = 204 \]
\[ \frac{12x}{12} = \frac{204}{12} \ \Rightarrow\ x = 17 \]
\[ 12\cdot17 + 13 = 204 + 13 = 217 \checkmark \]

Trying values of x in 12x + 13 = 217

x12x + 13Equals 217?
15193no
16205no
17217yes
18229no
19241no

Questions

What is x in 12x + 13 = 217?

The solution of 12x + 13 = 217 is x = 17.

How do you solve 12x + 13 = 217?

Subtract 13 from both sides to get 12x = 204, then divide both sides by 12 to get x = 17.

How do I check the answer?

Replace x by 17: 12(17) + 13 = 217, which is 217.

Similar equations

    Solve 12x + 13 = 217: x = 17 (steps and check) | WordGPT