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Solve 11x + 8 = 217

The solution of 11x + 8 = 217 is x = 19.

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The lines y = 11x + 8 and y = 217 meet at x = 19141618202224140160180200220240260280x = 19y = 11x + 8y = 217
The lines y = 11x + 8 and y = 217 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+8=21711x + 8 = 217
  2. 2

    Subtract 8 from both sides:

    11x+8−8=217−8 ⇒ 11x=20911x + 8 - 8 = 217 - 8 \ \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+8=209+8=217✓11\cdot19 + 8 = 209 + 8 = 217 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 8 = 217\ \Rightarrow\ x = 19 \]
\[ 11x + 8 = 217 \]
\[ 11x + 8 - 8 = 217 - 8 \ \Rightarrow\ 11x = 209 \]
\[ \frac{11x}{11} = \frac{209}{11} \ \Rightarrow\ x = 19 \]
\[ 11\cdot19 + 8 = 209 + 8 = 217 \checkmark \]

Trying values of x in 11x + 8 = 217

x11x + 8Equals 217?
17195no
18206no
19217yes
20228no
21239no

Questions

What is x in 11x + 8 = 217?

The solution of 11x + 8 = 217 is x = 19.

How do you solve 11x + 8 = 217?

Subtract 8 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) + 8 = 217, which is 217.

Similar equations

    Solve 11x + 8 = 217: x = 19 (steps and check) | WordGPT