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Solve 5x āˆ’ 14 = 26

The solution of 5x āˆ’ 14 = 26 is x = 8.

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The lines y = 5x āˆ’ 14 and y = 26 meet at x = 82468101214-10102030405060x = 8y = 5x āˆ’ 14y = 26
The lines y = 5x āˆ’ 14 and y = 26 meet at x = 8. 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’14=265x - 14 = 26
  2. 2

    Add 14 to both sides:

    5xāˆ’14+14=26+14Ā ā‡’Ā 5x=405x - 14 + 14 = 26 + 14 \ \Rightarrow\ 5x = 40
  3. 3

    Divide both sides by 5:

    5x5=405Ā ā‡’Ā x=8\frac{5x}{5} = \frac{40}{5} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    5ā‹…8āˆ’14=40āˆ’14=26āœ“5\cdot8 - 14 = 40 - 14 = 26 \checkmark
LaTeX source of the formulas on this page
\[ 5x - 14 = 26\ \Rightarrow\ x = 8 \]
\[ 5x - 14 = 26 \]
\[ 5x - 14 + 14 = 26 + 14 \ \Rightarrow\ 5x = 40 \]
\[ \frac{5x}{5} = \frac{40}{5} \ \Rightarrow\ x = 8 \]
\[ 5\cdot8 - 14 = 40 - 14 = 26 \checkmark \]

Trying values of x in 5x āˆ’ 14 = 26

x5x āˆ’ 14Equals 26?
616no
721no
826yes
931no
1036no

Questions

What is x in 5x āˆ’ 14 = 26?

The solution of 5x āˆ’ 14 = 26 is x = 8.

How do you solve 5x āˆ’ 14 = 26?

Add 14 to both sides to get 5x = 40, then divide both sides by 5 to get x = 8.

How do I check the answer?

Replace x by 8: 5(8) āˆ’ 14 = 26, which is 26.

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