WordGPT

Solve 10x + 11 = 211

The solution of 10x + 11 = 211 is x = 20.

Explain it step by step in chatMake a short video of it
The lines y = 10x + 11 and y = 211 meet at x = 2014161820222426140160180200220240260280x = 20y = 10x + 11y = 211
The lines y = 10x + 11 and y = 211 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.

    10x+11=21110x + 11 = 211
  2. 2

    Subtract 11 from both sides:

    10x+11−11=211−11 ⇒ 10x=20010x + 11 - 11 = 211 - 11 \ \Rightarrow\ 10x = 200
  3. 3

    Divide both sides by 10:

    10x10=20010 ⇒ x=20\frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    10⋅20+11=200+11=211✓10\cdot20 + 11 = 200 + 11 = 211 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 11 = 211\ \Rightarrow\ x = 20 \]
\[ 10x + 11 = 211 \]
\[ 10x + 11 - 11 = 211 - 11 \ \Rightarrow\ 10x = 200 \]
\[ \frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20 \]
\[ 10\cdot20 + 11 = 200 + 11 = 211 \checkmark \]

Trying values of x in 10x + 11 = 211

x10x + 11Equals 211?
18191no
19201no
20211yes
21221no
22231no

Questions

What is x in 10x + 11 = 211?

The solution of 10x + 11 = 211 is x = 20.

How do you solve 10x + 11 = 211?

Subtract 11 from both sides to get 10x = 200, then divide both sides by 10 to get x = 20.

How do I check the answer?

Replace x by 20: 10(20) + 11 = 211, which is 211.

Similar equations

    Solve 10x + 11 = 211: x = 20 (steps and check) | WordGPT