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Solve 5x āˆ’ 15 = 80

The solution of 5x āˆ’ 15 = 80 is x = 19.

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The lines y = 5x āˆ’ 15 and y = 80 meet at x = 191416182022245060708090100110x = 19y = 5x āˆ’ 15y = 80
The lines y = 5x āˆ’ 15 and y = 80 meet at x = 19. 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’15=805x - 15 = 80
  2. 2

    Add 15 to both sides:

    5xāˆ’15+15=80+15Ā ā‡’Ā 5x=955x - 15 + 15 = 80 + 15 \ \Rightarrow\ 5x = 95
  3. 3

    Divide both sides by 5:

    5x5=955Ā ā‡’Ā x=19\frac{5x}{5} = \frac{95}{5} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    5ā‹…19āˆ’15=95āˆ’15=80āœ“5\cdot19 - 15 = 95 - 15 = 80 \checkmark
LaTeX source of the formulas on this page
\[ 5x - 15 = 80\ \Rightarrow\ x = 19 \]
\[ 5x - 15 = 80 \]
\[ 5x - 15 + 15 = 80 + 15 \ \Rightarrow\ 5x = 95 \]
\[ \frac{5x}{5} = \frac{95}{5} \ \Rightarrow\ x = 19 \]
\[ 5\cdot19 - 15 = 95 - 15 = 80 \checkmark \]

Trying values of x in 5x āˆ’ 15 = 80

x5x āˆ’ 15Equals 80?
1770no
1875no
1980yes
2085no
2190no

Questions

What is x in 5x āˆ’ 15 = 80?

The solution of 5x āˆ’ 15 = 80 is x = 19.

How do you solve 5x āˆ’ 15 = 80?

Add 15 to both sides to get 5x = 95, then divide both sides by 5 to get x = 19.

How do I check the answer?

Replace x by 19: 5(19) āˆ’ 15 = 80, which is 80.

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