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Solve 6x + 11 = 65

The solution of 6x + 11 = 65 is x = 9.

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The lines y = 6x + 11 and y = 65 meet at x = 946810121430405060708090100x = 9y = 6x + 11y = 65
The lines y = 6x + 11 and y = 65 meet at x = 9. 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.

    6x+11=656x + 11 = 65
  2. 2

    Subtract 11 from both sides:

    6x+11−11=65−11 ⇒ 6x=546x + 11 - 11 = 65 - 11 \ \Rightarrow\ 6x = 54
  3. 3

    Divide both sides by 6:

    6x6=546 ⇒ x=9\frac{6x}{6} = \frac{54}{6} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    6⋅9+11=54+11=65✓6\cdot9 + 11 = 54 + 11 = 65 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 11 = 65\ \Rightarrow\ x = 9 \]
\[ 6x + 11 = 65 \]
\[ 6x + 11 - 11 = 65 - 11 \ \Rightarrow\ 6x = 54 \]
\[ \frac{6x}{6} = \frac{54}{6} \ \Rightarrow\ x = 9 \]
\[ 6\cdot9 + 11 = 54 + 11 = 65 \checkmark \]

Trying values of x in 6x + 11 = 65

x6x + 11Equals 65?
753no
859no
965yes
1071no
1177no

Questions

What is x in 6x + 11 = 65?

The solution of 6x + 11 = 65 is x = 9.

How do you solve 6x + 11 = 65?

Subtract 11 from both sides to get 6x = 54, then divide both sides by 6 to get x = 9.

How do I check the answer?

Replace x by 9: 6(9) + 11 = 65, which is 65.

Similar equations

    Solve 6x + 11 = 65: x = 9 (steps and check) | WordGPT