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Solve 11x āˆ’ 8 = āˆ’8

The solution of 11x āˆ’ 8 = āˆ’8 is x = 0.

The lines y = 11x āˆ’ 8 and y = -8 meet at x = 0-6-4-2246-80-60-40-20204060x = 0y = 11x āˆ’ 8y = -8
The lines y = 11x āˆ’ 8 and y = -8 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.

    11xāˆ’8=āˆ’811x - 8 = -8
  2. 2

    Add 8 to both sides:

    11xāˆ’8+8=āˆ’8+8 ⇒ 11x=011x - 8 + 8 = -8 + 8 \ \Rightarrow\ 11x = 0
  3. 3

    Divide both sides by 11:

    11x11=011 ⇒ x=0\frac{11x}{11} = \frac{0}{11} \ \Rightarrow\ x = 0
  4. 4

    Check: put x = 0 back into the equation.

    11ā‹…0āˆ’8=0āˆ’8=āˆ’8āœ“11\cdot0 - 8 = 0 - 8 = -8 \checkmark
LaTeX source of the formulas on this page
\[ 11x - 8 = -8\ \Rightarrow\ x = 0 \]
\[ 11x - 8 = -8 \]
\[ 11x - 8 + 8 = -8 + 8 \ \Rightarrow\ 11x = 0 \]
\[ \frac{11x}{11} = \frac{0}{11} \ \Rightarrow\ x = 0 \]
\[ 11\cdot0 - 8 = 0 - 8 = -8 \checkmark \]

Trying values of x in 11x āˆ’ 8 = āˆ’8

x11x āˆ’ 8Equals -8?
-2-30no
-1-19no
0-8yes
13no
214no

Questions

What is x in 11x āˆ’ 8 = āˆ’8?

The solution of 11x āˆ’ 8 = āˆ’8 is x = 0.

How do you solve 11x āˆ’ 8 = āˆ’8?

Add 8 to both sides to get 11x = 0, then divide both sides by 11 to get x = 0.

How do I check the answer?

Replace x by 0: 11(0) āˆ’ 8 = -8, which is -8.

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    Solve 11x āˆ’ 8 = āˆ’8: x = 0 (steps and check) | WordGPT