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Solve 5x āˆ’ 14 = 71

The solution of 5x āˆ’ 14 = 71 is x = 17.

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The lines y = 5x āˆ’ 14 and y = 71 meet at x = 17121416182022405060708090100x = 17y = 5x āˆ’ 14y = 71
The lines y = 5x āˆ’ 14 and y = 71 meet at x = 17. 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=715x - 14 = 71
  2. 2

    Add 14 to both sides:

    5xāˆ’14+14=71+14Ā ā‡’Ā 5x=855x - 14 + 14 = 71 + 14 \ \Rightarrow\ 5x = 85
  3. 3

    Divide both sides by 5:

    5x5=855Ā ā‡’Ā x=17\frac{5x}{5} = \frac{85}{5} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    5ā‹…17āˆ’14=85āˆ’14=71āœ“5\cdot17 - 14 = 85 - 14 = 71 \checkmark
LaTeX source of the formulas on this page
\[ 5x - 14 = 71\ \Rightarrow\ x = 17 \]
\[ 5x - 14 = 71 \]
\[ 5x - 14 + 14 = 71 + 14 \ \Rightarrow\ 5x = 85 \]
\[ \frac{5x}{5} = \frac{85}{5} \ \Rightarrow\ x = 17 \]
\[ 5\cdot17 - 14 = 85 - 14 = 71 \checkmark \]

Trying values of x in 5x āˆ’ 14 = 71

x5x āˆ’ 14Equals 71?
1561no
1666no
1771yes
1876no
1981no

Questions

What is x in 5x āˆ’ 14 = 71?

The solution of 5x āˆ’ 14 = 71 is x = 17.

How do you solve 5x āˆ’ 14 = 71?

Add 14 to both sides to get 5x = 85, then divide both sides by 5 to get x = 17.

How do I check the answer?

Replace x by 17: 5(17) āˆ’ 14 = 71, which is 71.

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    Solve 5x āˆ’ 14 = 71: x = 17 (steps and check) | WordGPT