WordGPT

Solve 12x + 3 = 183

The solution of 12x + 3 = 183 is x = 15.

Explain it step by step in chatMake a short video of it
The lines y = 12x + 3 and y = 183 meet at x = 15101214161820100120140160180200220240260x = 15y = 12x + 3y = 183
The lines y = 12x + 3 and y = 183 meet at x = 15. 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=18312x + 3 = 183
  2. 2

    Subtract 3 from both sides:

    12x+3−3=183−3 ⇒ 12x=18012x + 3 - 3 = 183 - 3 \ \Rightarrow\ 12x = 180
  3. 3

    Divide both sides by 12:

    12x12=18012 ⇒ x=15\frac{12x}{12} = \frac{180}{12} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    12⋅15+3=180+3=183✓12\cdot15 + 3 = 180 + 3 = 183 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 3 = 183\ \Rightarrow\ x = 15 \]
\[ 12x + 3 = 183 \]
\[ 12x + 3 - 3 = 183 - 3 \ \Rightarrow\ 12x = 180 \]
\[ \frac{12x}{12} = \frac{180}{12} \ \Rightarrow\ x = 15 \]
\[ 12\cdot15 + 3 = 180 + 3 = 183 \checkmark \]

Trying values of x in 12x + 3 = 183

x12x + 3Equals 183?
13159no
14171no
15183yes
16195no
17207no

Questions

What is x in 12x + 3 = 183?

The solution of 12x + 3 = 183 is x = 15.

How do you solve 12x + 3 = 183?

Subtract 3 from both sides to get 12x = 180, then divide both sides by 12 to get x = 15.

How do I check the answer?

Replace x by 15: 12(15) + 3 = 183, which is 183.

Similar equations

    Solve 12x + 3 = 183: x = 15 (steps and check) | WordGPT