WordGPT

Solve 12x + 3 = 243

The solution of 12x + 3 = 243 is x = 20.

Explain it step by step in chatMake a short video of it
The lines y = 12x + 3 and y = 243 meet at x = 2014161820222426160180200220240260280300320x = 20y = 12x + 3y = 243
The lines y = 12x + 3 and y = 243 meet at x = 20. 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+3=24312x + 3 = 243
  2. 2

    Subtract 3 from both sides:

    12x+3−3=243−3 ⇒ 12x=24012x + 3 - 3 = 243 - 3 \ \Rightarrow\ 12x = 240
  3. 3

    Divide both sides by 12:

    12x12=24012 ⇒ x=20\frac{12x}{12} = \frac{240}{12} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    12⋅20+3=240+3=243✓12\cdot20 + 3 = 240 + 3 = 243 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 3 = 243\ \Rightarrow\ x = 20 \]
\[ 12x + 3 = 243 \]
\[ 12x + 3 - 3 = 243 - 3 \ \Rightarrow\ 12x = 240 \]
\[ \frac{12x}{12} = \frac{240}{12} \ \Rightarrow\ x = 20 \]
\[ 12\cdot20 + 3 = 240 + 3 = 243 \checkmark \]

Trying values of x in 12x + 3 = 243

x12x + 3Equals 243?
18219no
19231no
20243yes
21255no
22267no

Questions

What is x in 12x + 3 = 243?

The solution of 12x + 3 = 243 is x = 20.

How do you solve 12x + 3 = 243?

Subtract 3 from both sides to get 12x = 240, then divide both sides by 12 to get x = 20.

How do I check the answer?

Replace x by 20: 12(20) + 3 = 243, which is 243.

Similar equations

    Solve 12x + 3 = 243: x = 20 (steps and check) | WordGPT