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Solve 11x āˆ’ 8 = 25

The solution of 11x āˆ’ 8 = 25 is x = 3.

The lines y = 11x āˆ’ 8 and y = 25 meet at x = 3-22468-40-2020406080100x = 3y = 11x āˆ’ 8y = 25
The lines y = 11x āˆ’ 8 and y = 25 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.

    11xāˆ’8=2511x - 8 = 25
  2. 2

    Add 8 to both sides:

    11xāˆ’8+8=25+8 ⇒ 11x=3311x - 8 + 8 = 25 + 8 \ \Rightarrow\ 11x = 33
  3. 3

    Divide both sides by 11:

    11x11=3311 ⇒ x=3\frac{11x}{11} = \frac{33}{11} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    11ā‹…3āˆ’8=33āˆ’8=25āœ“11\cdot3 - 8 = 33 - 8 = 25 \checkmark
LaTeX source of the formulas on this page
\[ 11x - 8 = 25\ \Rightarrow\ x = 3 \]
\[ 11x - 8 = 25 \]
\[ 11x - 8 + 8 = 25 + 8 \ \Rightarrow\ 11x = 33 \]
\[ \frac{11x}{11} = \frac{33}{11} \ \Rightarrow\ x = 3 \]
\[ 11\cdot3 - 8 = 33 - 8 = 25 \checkmark \]

Trying values of x in 11x āˆ’ 8 = 25

x11x āˆ’ 8Equals 25?
13no
214no
325yes
436no
547no

Questions

What is x in 11x āˆ’ 8 = 25?

The solution of 11x āˆ’ 8 = 25 is x = 3.

How do you solve 11x āˆ’ 8 = 25?

Add 8 to both sides to get 11x = 33, then divide both sides by 11 to get x = 3.

How do I check the answer?

Replace x by 3: 11(3) āˆ’ 8 = 25, which is 25.

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    Solve 11x āˆ’ 8 = 25: x = 3 (steps and check) | WordGPT