WordGPT

Solve 12x + 13 = 229

The solution of 12x + 13 = 229 is x = 18.

Explain it step by step in chatMake a short video of it
The lines y = 12x + 13 and y = 229 meet at x = 1812141618202224160180200220240260280300x = 18y = 12x + 13y = 229
The lines y = 12x + 13 and y = 229 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+13=22912x + 13 = 229
  2. 2

    Subtract 13 from both sides:

    12x+13−13=229−13 ⇒ 12x=21612x + 13 - 13 = 229 - 13 \ \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+13=216+13=229✓12\cdot18 + 13 = 216 + 13 = 229 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 13 = 229\ \Rightarrow\ x = 18 \]
\[ 12x + 13 = 229 \]
\[ 12x + 13 - 13 = 229 - 13 \ \Rightarrow\ 12x = 216 \]
\[ \frac{12x}{12} = \frac{216}{12} \ \Rightarrow\ x = 18 \]
\[ 12\cdot18 + 13 = 216 + 13 = 229 \checkmark \]

Trying values of x in 12x + 13 = 229

x12x + 13Equals 229?
16205no
17217no
18229yes
19241no
20253no

Questions

What is x in 12x + 13 = 229?

The solution of 12x + 13 = 229 is x = 18.

How do you solve 12x + 13 = 229?

Subtract 13 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) + 13 = 229, which is 229.

Similar equations

    Solve 12x + 13 = 229: x = 18 (steps and check) | WordGPT