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Solve 5x āˆ’ 11 = 19

The solution of 5x āˆ’ 11 = 19 is x = 6.

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The lines y = 5x āˆ’ 11 and y = 19 meet at x = 624681012-101020304050x = 6y = 5x āˆ’ 11y = 19
The lines y = 5x āˆ’ 11 and y = 19 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 subtraction, then the multiplication.

    5xāˆ’11=195x - 11 = 19
  2. 2

    Add 11 to both sides:

    5xāˆ’11+11=19+11Ā ā‡’Ā 5x=305x - 11 + 11 = 19 + 11 \ \Rightarrow\ 5x = 30
  3. 3

    Divide both sides by 5:

    5x5=305Ā ā‡’Ā x=6\frac{5x}{5} = \frac{30}{5} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    5ā‹…6āˆ’11=30āˆ’11=19āœ“5\cdot6 - 11 = 30 - 11 = 19 \checkmark
LaTeX source of the formulas on this page
\[ 5x - 11 = 19\ \Rightarrow\ x = 6 \]
\[ 5x - 11 = 19 \]
\[ 5x - 11 + 11 = 19 + 11 \ \Rightarrow\ 5x = 30 \]
\[ \frac{5x}{5} = \frac{30}{5} \ \Rightarrow\ x = 6 \]
\[ 5\cdot6 - 11 = 30 - 11 = 19 \checkmark \]

Trying values of x in 5x āˆ’ 11 = 19

x5x āˆ’ 11Equals 19?
49no
514no
619yes
724no
829no

Questions

What is x in 5x āˆ’ 11 = 19?

The solution of 5x āˆ’ 11 = 19 is x = 6.

How do you solve 5x āˆ’ 11 = 19?

Add 11 to both sides to get 5x = 30, then divide both sides by 5 to get x = 6.

How do I check the answer?

Replace x by 6: 5(6) āˆ’ 11 = 19, which is 19.

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