WordGPT

Solve 12x + 1 = 229

The solution of 12x + 1 = 229 is x = 19.

Explain it step by step in chatMake a short video of it
The lines y = 12x + 1 and y = 229 meet at x = 19141618202224160180200220240260280300x = 19y = 12x + 1y = 229
The lines y = 12x + 1 and y = 229 meet at x = 19. 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+1=22912x + 1 = 229
  2. 2

    Subtract 1 from both sides:

    12x+1−1=229−1 ⇒ 12x=22812x + 1 - 1 = 229 - 1 \ \Rightarrow\ 12x = 228
  3. 3

    Divide both sides by 12:

    12x12=22812 ⇒ x=19\frac{12x}{12} = \frac{228}{12} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    12⋅19+1=228+1=229✓12\cdot19 + 1 = 228 + 1 = 229 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 1 = 229\ \Rightarrow\ x = 19 \]
\[ 12x + 1 = 229 \]
\[ 12x + 1 - 1 = 229 - 1 \ \Rightarrow\ 12x = 228 \]
\[ \frac{12x}{12} = \frac{228}{12} \ \Rightarrow\ x = 19 \]
\[ 12\cdot19 + 1 = 228 + 1 = 229 \checkmark \]

Trying values of x in 12x + 1 = 229

x12x + 1Equals 229?
17205no
18217no
19229yes
20241no
21253no

Questions

What is x in 12x + 1 = 229?

The solution of 12x + 1 = 229 is x = 19.

How do you solve 12x + 1 = 229?

Subtract 1 from both sides to get 12x = 228, then divide both sides by 12 to get x = 19.

How do I check the answer?

Replace x by 19: 12(19) + 1 = 229, which is 229.

Similar equations

    Solve 12x + 1 = 229: x = 19 (steps and check) | WordGPT