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Solve 11x āˆ’ 14 = 63

The solution of 11x āˆ’ 14 = 63 is x = 7.

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The lines y = 11x āˆ’ 14 and y = 63 meet at x = 72468101220406080100120140x = 7y = 11x āˆ’ 14y = 63
The lines y = 11x āˆ’ 14 and y = 63 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 subtraction, then the multiplication.

    11xāˆ’14=6311x - 14 = 63
  2. 2

    Add 14 to both sides:

    11xāˆ’14+14=63+14Ā ā‡’Ā 11x=7711x - 14 + 14 = 63 + 14 \ \Rightarrow\ 11x = 77
  3. 3

    Divide both sides by 11:

    11x11=7711Ā ā‡’Ā x=7\frac{11x}{11} = \frac{77}{11} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    11ā‹…7āˆ’14=77āˆ’14=63āœ“11\cdot7 - 14 = 77 - 14 = 63 \checkmark
LaTeX source of the formulas on this page
\[ 11x - 14 = 63\ \Rightarrow\ x = 7 \]
\[ 11x - 14 = 63 \]
\[ 11x - 14 + 14 = 63 + 14 \ \Rightarrow\ 11x = 77 \]
\[ \frac{11x}{11} = \frac{77}{11} \ \Rightarrow\ x = 7 \]
\[ 11\cdot7 - 14 = 77 - 14 = 63 \checkmark \]

Trying values of x in 11x āˆ’ 14 = 63

x11x āˆ’ 14Equals 63?
541no
652no
763yes
874no
985no

Questions

What is x in 11x āˆ’ 14 = 63?

The solution of 11x āˆ’ 14 = 63 is x = 7.

How do you solve 11x āˆ’ 14 = 63?

Add 14 to 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) āˆ’ 14 = 63, which is 63.

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