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Solve 9x āˆ’ 5 = āˆ’5

The solution of 9x āˆ’ 5 = āˆ’5 is x = 0.

The lines y = 9x āˆ’ 5 and y = -5 meet at x = 0-6-4-2246-60-40-20204060x = 0y = 9x āˆ’ 5y = -5
The lines y = 9x āˆ’ 5 and y = -5 meet at x = 0. 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.

    9xāˆ’5=āˆ’59x - 5 = -5
  2. 2

    Add 5 to both sides:

    9xāˆ’5+5=āˆ’5+5 ⇒ 9x=09x - 5 + 5 = -5 + 5 \ \Rightarrow\ 9x = 0
  3. 3

    Divide both sides by 9:

    9x9=09 ⇒ x=0\frac{9x}{9} = \frac{0}{9} \ \Rightarrow\ x = 0
  4. 4

    Check: put x = 0 back into the equation.

    9ā‹…0āˆ’5=0āˆ’5=āˆ’5āœ“9\cdot0 - 5 = 0 - 5 = -5 \checkmark
LaTeX source of the formulas on this page
\[ 9x - 5 = -5\ \Rightarrow\ x = 0 \]
\[ 9x - 5 = -5 \]
\[ 9x - 5 + 5 = -5 + 5 \ \Rightarrow\ 9x = 0 \]
\[ \frac{9x}{9} = \frac{0}{9} \ \Rightarrow\ x = 0 \]
\[ 9\cdot0 - 5 = 0 - 5 = -5 \checkmark \]

Trying values of x in 9x āˆ’ 5 = āˆ’5

x9x āˆ’ 5Equals -5?
-2-23no
-1-14no
0-5yes
14no
213no

Questions

What is x in 9x āˆ’ 5 = āˆ’5?

The solution of 9x āˆ’ 5 = āˆ’5 is x = 0.

How do you solve 9x āˆ’ 5 = āˆ’5?

Add 5 to both sides to get 9x = 0, then divide both sides by 9 to get x = 0.

How do I check the answer?

Replace x by 0: 9(0) āˆ’ 5 = -5, which is -5.

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    Solve 9x āˆ’ 5 = āˆ’5: x = 0 (steps and check) | WordGPT