WordGPT

Solve 11x + 5 = 192

The solution of 11x + 5 = 192 is x = 17.

Explain it step by step in chatMake a short video of it
The lines y = 11x + 5 and y = 192 meet at x = 17121416182022120140160180200220240260x = 17y = 11x + 5y = 192
The lines y = 11x + 5 and y = 192 meet at x = 17. 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.

    11x+5=19211x + 5 = 192
  2. 2

    Subtract 5 from both sides:

    11x+5−5=192−5 ⇒ 11x=18711x + 5 - 5 = 192 - 5 \ \Rightarrow\ 11x = 187
  3. 3

    Divide both sides by 11:

    11x11=18711 ⇒ x=17\frac{11x}{11} = \frac{187}{11} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    11⋅17+5=187+5=192✓11\cdot17 + 5 = 187 + 5 = 192 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 5 = 192\ \Rightarrow\ x = 17 \]
\[ 11x + 5 = 192 \]
\[ 11x + 5 - 5 = 192 - 5 \ \Rightarrow\ 11x = 187 \]
\[ \frac{11x}{11} = \frac{187}{11} \ \Rightarrow\ x = 17 \]
\[ 11\cdot17 + 5 = 187 + 5 = 192 \checkmark \]

Trying values of x in 11x + 5 = 192

x11x + 5Equals 192?
15170no
16181no
17192yes
18203no
19214no

Questions

What is x in 11x + 5 = 192?

The solution of 11x + 5 = 192 is x = 17.

How do you solve 11x + 5 = 192?

Subtract 5 from both sides to get 11x = 187, then divide both sides by 11 to get x = 17.

How do I check the answer?

Replace x by 17: 11(17) + 5 = 192, which is 192.

Similar equations

    Solve 11x + 5 = 192: x = 17 (steps and check) | WordGPT