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Solve 11x + 5 = 82

The solution of 11x + 5 = 82 is x = 7.

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The lines y = 11x + 5 and y = 82 meet at x = 72468101220406080100120140160x = 7y = 11x + 5y = 82
The lines y = 11x + 5 and y = 82 meet at x = 7. 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+5=8211x + 5 = 82
  2. 2

    Subtract 5 from both sides:

    11x+5−5=82−5 ⇒ 11x=7711x + 5 - 5 = 82 - 5 \ \Rightarrow\ 11x = 77
  3. 3

    Divide both sides by 11:

    11x11=7711 ⇒ x=7\frac{11x}{11} = \frac{77}{11} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    11⋅7+5=77+5=82✓11\cdot7 + 5 = 77 + 5 = 82 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 5 = 82\ \Rightarrow\ x = 7 \]
\[ 11x + 5 = 82 \]
\[ 11x + 5 - 5 = 82 - 5 \ \Rightarrow\ 11x = 77 \]
\[ \frac{11x}{11} = \frac{77}{11} \ \Rightarrow\ x = 7 \]
\[ 11\cdot7 + 5 = 77 + 5 = 82 \checkmark \]

Trying values of x in 11x + 5 = 82

x11x + 5Equals 82?
560no
671no
782yes
893no
9104no

Questions

What is x in 11x + 5 = 82?

The solution of 11x + 5 = 82 is x = 7.

How do you solve 11x + 5 = 82?

Subtract 5 from both sides to get 11x = 77, then divide both sides by 11 to get x = 7.

How do I check the answer?

Replace x by 7: 11(7) + 5 = 82, which is 82.

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    Solve 11x + 5 = 82: x = 7 (steps and check) | WordGPT