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Solve 11x + 5 = 71

The solution of 11x + 5 = 71 is x = 6.

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The lines y = 11x + 5 and y = 71 meet at x = 62468101220406080100120140x = 6y = 11x + 5y = 71
The lines y = 11x + 5 and y = 71 meet at x = 6. 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=7111x + 5 = 71
  2. 2

    Subtract 5 from both sides:

    11x+5−5=71−5 ⇒ 11x=6611x + 5 - 5 = 71 - 5 \ \Rightarrow\ 11x = 66
  3. 3

    Divide both sides by 11:

    11x11=6611 ⇒ x=6\frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    11⋅6+5=66+5=71✓11\cdot6 + 5 = 66 + 5 = 71 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 5 = 71\ \Rightarrow\ x = 6 \]
\[ 11x + 5 = 71 \]
\[ 11x + 5 - 5 = 71 - 5 \ \Rightarrow\ 11x = 66 \]
\[ \frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6 \]
\[ 11\cdot6 + 5 = 66 + 5 = 71 \checkmark \]

Trying values of x in 11x + 5 = 71

x11x + 5Equals 71?
449no
560no
671yes
782no
893no

Questions

What is x in 11x + 5 = 71?

The solution of 11x + 5 = 71 is x = 6.

How do you solve 11x + 5 = 71?

Subtract 5 from both sides to get 11x = 66, then divide both sides by 11 to get x = 6.

How do I check the answer?

Replace x by 6: 11(6) + 5 = 71, which is 71.

Similar equations

    Solve 11x + 5 = 71: x = 6 (steps and check) | WordGPT