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Solve 11x + 11 = 165

The solution of 11x + 11 = 165 is x = 14.

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The lines y = 11x + 11 and y = 165 meet at x = 148101214161820100120140160180200220240x = 14y = 11x + 11y = 165
The lines y = 11x + 11 and y = 165 meet at x = 14. 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+11=16511x + 11 = 165
  2. 2

    Subtract 11 from both sides:

    11x+11−11=165−11 ⇒ 11x=15411x + 11 - 11 = 165 - 11 \ \Rightarrow\ 11x = 154
  3. 3

    Divide both sides by 11:

    11x11=15411 ⇒ x=14\frac{11x}{11} = \frac{154}{11} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    11⋅14+11=154+11=165✓11\cdot14 + 11 = 154 + 11 = 165 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 11 = 165\ \Rightarrow\ x = 14 \]
\[ 11x + 11 = 165 \]
\[ 11x + 11 - 11 = 165 - 11 \ \Rightarrow\ 11x = 154 \]
\[ \frac{11x}{11} = \frac{154}{11} \ \Rightarrow\ x = 14 \]
\[ 11\cdot14 + 11 = 154 + 11 = 165 \checkmark \]

Trying values of x in 11x + 11 = 165

x11x + 11Equals 165?
12143no
13154no
14165yes
15176no
16187no

Questions

What is x in 11x + 11 = 165?

The solution of 11x + 11 = 165 is x = 14.

How do you solve 11x + 11 = 165?

Subtract 11 from both sides to get 11x = 154, then divide both sides by 11 to get x = 14.

How do I check the answer?

Replace x by 14: 11(14) + 11 = 165, which is 165.

Similar equations

    Solve 11x + 11 = 165: x = 14 (steps and check) | WordGPT