WordGPT

Solve 12x + 3 = 171

The solution of 12x + 3 = 171 is x = 14.

Explain it step by step in chatMake a short video of it
The lines y = 12x + 3 and y = 171 meet at x = 148101214161820100120140160180200220240x = 14y = 12x + 3y = 171
The lines y = 12x + 3 and y = 171 meet at x = 14. 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=17112x + 3 = 171
  2. 2

    Subtract 3 from both sides:

    12x+3−3=171−3 ⇒ 12x=16812x + 3 - 3 = 171 - 3 \ \Rightarrow\ 12x = 168
  3. 3

    Divide both sides by 12:

    12x12=16812 ⇒ x=14\frac{12x}{12} = \frac{168}{12} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    12⋅14+3=168+3=171✓12\cdot14 + 3 = 168 + 3 = 171 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 3 = 171\ \Rightarrow\ x = 14 \]
\[ 12x + 3 = 171 \]
\[ 12x + 3 - 3 = 171 - 3 \ \Rightarrow\ 12x = 168 \]
\[ \frac{12x}{12} = \frac{168}{12} \ \Rightarrow\ x = 14 \]
\[ 12\cdot14 + 3 = 168 + 3 = 171 \checkmark \]

Trying values of x in 12x + 3 = 171

x12x + 3Equals 171?
12147no
13159no
14171yes
15183no
16195no

Questions

What is x in 12x + 3 = 171?

The solution of 12x + 3 = 171 is x = 14.

How do you solve 12x + 3 = 171?

Subtract 3 from both sides to get 12x = 168, then divide both sides by 12 to get x = 14.

How do I check the answer?

Replace x by 14: 12(14) + 3 = 171, which is 171.

Similar equations

    Solve 12x + 3 = 171: x = 14 (steps and check) | WordGPT