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Solve 11x + 3 = 223

The solution of 11x + 3 = 223 is x = 20.

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The lines y = 11x + 3 and y = 223 meet at x = 2014161820222426160180200220240260280300x = 20y = 11x + 3y = 223
The lines y = 11x + 3 and y = 223 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+3=22311x + 3 = 223
  2. 2

    Subtract 3 from both sides:

    11x+3−3=223−3 ⇒ 11x=22011x + 3 - 3 = 223 - 3 \ \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+3=220+3=223✓11\cdot20 + 3 = 220 + 3 = 223 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 3 = 223\ \Rightarrow\ x = 20 \]
\[ 11x + 3 = 223 \]
\[ 11x + 3 - 3 = 223 - 3 \ \Rightarrow\ 11x = 220 \]
\[ \frac{11x}{11} = \frac{220}{11} \ \Rightarrow\ x = 20 \]
\[ 11\cdot20 + 3 = 220 + 3 = 223 \checkmark \]

Trying values of x in 11x + 3 = 223

x11x + 3Equals 223?
18201no
19212no
20223yes
21234no
22245no

Questions

What is x in 11x + 3 = 223?

The solution of 11x + 3 = 223 is x = 20.

How do you solve 11x + 3 = 223?

Subtract 3 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) + 3 = 223, which is 223.

Similar equations

    Solve 11x + 3 = 223: x = 20 (steps and check) | WordGPT