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Solve 11x + 7 = 216

The solution of 11x + 7 = 216 is x = 19.

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The lines y = 11x + 7 and y = 216 meet at x = 19141618202224140160180200220240260280x = 19y = 11x + 7y = 216
The lines y = 11x + 7 and y = 216 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+7=21611x + 7 = 216
  2. 2

    Subtract 7 from both sides:

    11x+7−7=216−7 ⇒ 11x=20911x + 7 - 7 = 216 - 7 \ \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+7=209+7=216✓11\cdot19 + 7 = 209 + 7 = 216 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 7 = 216\ \Rightarrow\ x = 19 \]
\[ 11x + 7 = 216 \]
\[ 11x + 7 - 7 = 216 - 7 \ \Rightarrow\ 11x = 209 \]
\[ \frac{11x}{11} = \frac{209}{11} \ \Rightarrow\ x = 19 \]
\[ 11\cdot19 + 7 = 209 + 7 = 216 \checkmark \]

Trying values of x in 11x + 7 = 216

x11x + 7Equals 216?
17194no
18205no
19216yes
20227no
21238no

Questions

What is x in 11x + 7 = 216?

The solution of 11x + 7 = 216 is x = 19.

How do you solve 11x + 7 = 216?

Subtract 7 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) + 7 = 216, which is 216.

Similar equations

    Solve 11x + 7 = 216: x = 19 (steps and check) | WordGPT