WordGPT

Solve 12x + 5 = 197

The solution of 12x + 5 = 197 is x = 16.

Explain it step by step in chatMake a short video of it
The lines y = 12x + 5 and y = 197 meet at x = 1610121416182022120140160180200220240260280x = 16y = 12x + 5y = 197
The lines y = 12x + 5 and y = 197 meet at x = 16. 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+5=19712x + 5 = 197
  2. 2

    Subtract 5 from both sides:

    12x+5−5=197−5 ⇒ 12x=19212x + 5 - 5 = 197 - 5 \ \Rightarrow\ 12x = 192
  3. 3

    Divide both sides by 12:

    12x12=19212 ⇒ x=16\frac{12x}{12} = \frac{192}{12} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    12⋅16+5=192+5=197✓12\cdot16 + 5 = 192 + 5 = 197 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 5 = 197\ \Rightarrow\ x = 16 \]
\[ 12x + 5 = 197 \]
\[ 12x + 5 - 5 = 197 - 5 \ \Rightarrow\ 12x = 192 \]
\[ \frac{12x}{12} = \frac{192}{12} \ \Rightarrow\ x = 16 \]
\[ 12\cdot16 + 5 = 192 + 5 = 197 \checkmark \]

Trying values of x in 12x + 5 = 197

x12x + 5Equals 197?
14173no
15185no
16197yes
17209no
18221no

Questions

What is x in 12x + 5 = 197?

The solution of 12x + 5 = 197 is x = 16.

How do you solve 12x + 5 = 197?

Subtract 5 from both sides to get 12x = 192, then divide both sides by 12 to get x = 16.

How do I check the answer?

Replace x by 16: 12(16) + 5 = 197, which is 197.

Similar equations

    Solve 12x + 5 = 197: x = 16 (steps and check) | WordGPT