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Solve 5x āˆ’ 15 = 0

The solution of 5x āˆ’ 15 = 0 is x = 3.

The lines y = 5x āˆ’ 15 and y = 0 meet at x = 3-22468-30-20-10102030x = 3y = 5x āˆ’ 15y = 0
The lines y = 5x āˆ’ 15 and y = 0 meet at x = 3. 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=05x - 15 = 0
  2. 2

    Add 15 to both sides:

    5xāˆ’15+15=0+15 ⇒ 5x=155x - 15 + 15 = 0 + 15 \ \Rightarrow\ 5x = 15
  3. 3

    Divide both sides by 5:

    5x5=155 ⇒ x=3\frac{5x}{5} = \frac{15}{5} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    5ā‹…3āˆ’15=15āˆ’15=0āœ“5\cdot3 - 15 = 15 - 15 = 0 \checkmark
LaTeX source of the formulas on this page
\[ 5x - 15 = 0\ \Rightarrow\ x = 3 \]
\[ 5x - 15 = 0 \]
\[ 5x - 15 + 15 = 0 + 15 \ \Rightarrow\ 5x = 15 \]
\[ \frac{5x}{5} = \frac{15}{5} \ \Rightarrow\ x = 3 \]
\[ 5\cdot3 - 15 = 15 - 15 = 0 \checkmark \]

Trying values of x in 5x āˆ’ 15 = 0

x5x āˆ’ 15Equals 0?
1-10no
2-5no
30yes
45no
510no

Questions

What is x in 5x āˆ’ 15 = 0?

The solution of 5x āˆ’ 15 = 0 is x = 3.

How do you solve 5x āˆ’ 15 = 0?

Add 15 to both sides to get 5x = 15, then divide both sides by 5 to get x = 3.

How do I check the answer?

Replace x by 3: 5(3) āˆ’ 15 = 0, which is 0.

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    Solve 5x āˆ’ 15 = 0: x = 3 (steps and check) | WordGPT