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Solve 11x + 6 = 171

The solution of 11x + 6 = 171 is x = 15.

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The lines y = 11x + 6 and y = 171 meet at x = 15101214161820100120140160180200220240x = 15y = 11x + 6y = 171
The lines y = 11x + 6 and y = 171 meet at x = 15. 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+6=17111x + 6 = 171
  2. 2

    Subtract 6 from both sides:

    11x+6−6=171−6 ⇒ 11x=16511x + 6 - 6 = 171 - 6 \ \Rightarrow\ 11x = 165
  3. 3

    Divide both sides by 11:

    11x11=16511 ⇒ x=15\frac{11x}{11} = \frac{165}{11} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    11⋅15+6=165+6=171✓11\cdot15 + 6 = 165 + 6 = 171 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 6 = 171\ \Rightarrow\ x = 15 \]
\[ 11x + 6 = 171 \]
\[ 11x + 6 - 6 = 171 - 6 \ \Rightarrow\ 11x = 165 \]
\[ \frac{11x}{11} = \frac{165}{11} \ \Rightarrow\ x = 15 \]
\[ 11\cdot15 + 6 = 165 + 6 = 171 \checkmark \]

Trying values of x in 11x + 6 = 171

x11x + 6Equals 171?
13149no
14160no
15171yes
16182no
17193no

Questions

What is x in 11x + 6 = 171?

The solution of 11x + 6 = 171 is x = 15.

How do you solve 11x + 6 = 171?

Subtract 6 from both sides to get 11x = 165, then divide both sides by 11 to get x = 15.

How do I check the answer?

Replace x by 15: 11(15) + 6 = 171, which is 171.

Similar equations

    Solve 11x + 6 = 171: x = 15 (steps and check) | WordGPT