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Solve 5x āˆ’ 5 = 0

The solution of 5x āˆ’ 5 = 0 is x = 1.

The lines y = 5x āˆ’ 5 and y = 0 meet at x = 1-4-2246-30-20-10102030x = 1y = 5x āˆ’ 5y = 0
The lines y = 5x āˆ’ 5 and y = 0 meet at x = 1. 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’5=05x - 5 = 0
  2. 2

    Add 5 to both sides:

    5xāˆ’5+5=0+5 ⇒ 5x=55x - 5 + 5 = 0 + 5 \ \Rightarrow\ 5x = 5
  3. 3

    Divide both sides by 5:

    5x5=55 ⇒ x=1\frac{5x}{5} = \frac{5}{5} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    5ā‹…1āˆ’5=5āˆ’5=0āœ“5\cdot1 - 5 = 5 - 5 = 0 \checkmark
LaTeX source of the formulas on this page
\[ 5x - 5 = 0\ \Rightarrow\ x = 1 \]
\[ 5x - 5 = 0 \]
\[ 5x - 5 + 5 = 0 + 5 \ \Rightarrow\ 5x = 5 \]
\[ \frac{5x}{5} = \frac{5}{5} \ \Rightarrow\ x = 1 \]
\[ 5\cdot1 - 5 = 5 - 5 = 0 \checkmark \]

Trying values of x in 5x āˆ’ 5 = 0

x5x āˆ’ 5Equals 0?
-1-10no
0-5no
10yes
25no
310no

Questions

What is x in 5x āˆ’ 5 = 0?

The solution of 5x āˆ’ 5 = 0 is x = 1.

How do you solve 5x āˆ’ 5 = 0?

Add 5 to both sides to get 5x = 5, then divide both sides by 5 to get x = 1.

How do I check the answer?

Replace x by 1: 5(1) āˆ’ 5 = 0, which is 0.

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