WordGPT

Solve 11x + 7 = 227

The solution of 11x + 7 = 227 is x = 20.

Explain it step by step in chatMake a short video of it
The lines y = 11x + 7 and y = 227 meet at x = 2014161820222426160180200220240260280300x = 20y = 11x + 7y = 227
The lines y = 11x + 7 and y = 227 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.

    11x+7=22711x + 7 = 227
  2. 2

    Subtract 7 from both sides:

    11x+7−7=227−7 ⇒ 11x=22011x + 7 - 7 = 227 - 7 \ \Rightarrow\ 11x = 220
  3. 3

    Divide both sides by 11:

    11x11=22011 ⇒ x=20\frac{11x}{11} = \frac{220}{11} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    11⋅20+7=220+7=227✓11\cdot20 + 7 = 220 + 7 = 227 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 7 = 227\ \Rightarrow\ x = 20 \]
\[ 11x + 7 = 227 \]
\[ 11x + 7 - 7 = 227 - 7 \ \Rightarrow\ 11x = 220 \]
\[ \frac{11x}{11} = \frac{220}{11} \ \Rightarrow\ x = 20 \]
\[ 11\cdot20 + 7 = 220 + 7 = 227 \checkmark \]

Trying values of x in 11x + 7 = 227

x11x + 7Equals 227?
18205no
19216no
20227yes
21238no
22249no

Questions

What is x in 11x + 7 = 227?

The solution of 11x + 7 = 227 is x = 20.

How do you solve 11x + 7 = 227?

Subtract 7 from both sides to get 11x = 220, then divide both sides by 11 to get x = 20.

How do I check the answer?

Replace x by 20: 11(20) + 7 = 227, which is 227.

Similar equations

    Solve 11x + 7 = 227: x = 20 (steps and check) | WordGPT