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Solve 11x + 14 = 223

The solution of 11x + 14 = 223 is x = 19.

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The lines y = 11x + 14 and y = 223 meet at x = 19141618202224160180200220240260280300x = 19y = 11x + 14y = 223
The lines y = 11x + 14 and y = 223 meet at x = 19. 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+14=22311x + 14 = 223
  2. 2

    Subtract 14 from both sides:

    11x+14−14=223−14 ⇒ 11x=20911x + 14 - 14 = 223 - 14 \ \Rightarrow\ 11x = 209
  3. 3

    Divide both sides by 11:

    11x11=20911 ⇒ x=19\frac{11x}{11} = \frac{209}{11} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    11⋅19+14=209+14=223✓11\cdot19 + 14 = 209 + 14 = 223 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 14 = 223\ \Rightarrow\ x = 19 \]
\[ 11x + 14 = 223 \]
\[ 11x + 14 - 14 = 223 - 14 \ \Rightarrow\ 11x = 209 \]
\[ \frac{11x}{11} = \frac{209}{11} \ \Rightarrow\ x = 19 \]
\[ 11\cdot19 + 14 = 209 + 14 = 223 \checkmark \]

Trying values of x in 11x + 14 = 223

x11x + 14Equals 223?
17201no
18212no
19223yes
20234no
21245no

Questions

What is x in 11x + 14 = 223?

The solution of 11x + 14 = 223 is x = 19.

How do you solve 11x + 14 = 223?

Subtract 14 from both sides to get 11x = 209, then divide both sides by 11 to get x = 19.

How do I check the answer?

Replace x by 19: 11(19) + 14 = 223, which is 223.

Similar equations

    Solve 11x + 14 = 223: x = 19 (steps and check) | WordGPT