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Solve 11x āˆ’ 8 = 190

The solution of 11x āˆ’ 8 = 190 is x = 18.

The lines y = 11x āˆ’ 8 and y = 190 meet at x = 1812141618202224120140160180200220240260x = 18y = 11x āˆ’ 8y = 190
The lines y = 11x āˆ’ 8 and y = 190 meet at x = 18. 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=19011x - 8 = 190
  2. 2

    Add 8 to both sides:

    11xāˆ’8+8=190+8 ⇒ 11x=19811x - 8 + 8 = 190 + 8 \ \Rightarrow\ 11x = 198
  3. 3

    Divide both sides by 11:

    11x11=19811 ⇒ x=18\frac{11x}{11} = \frac{198}{11} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    11ā‹…18āˆ’8=198āˆ’8=190āœ“11\cdot18 - 8 = 198 - 8 = 190 \checkmark
LaTeX source of the formulas on this page
\[ 11x - 8 = 190\ \Rightarrow\ x = 18 \]
\[ 11x - 8 = 190 \]
\[ 11x - 8 + 8 = 190 + 8 \ \Rightarrow\ 11x = 198 \]
\[ \frac{11x}{11} = \frac{198}{11} \ \Rightarrow\ x = 18 \]
\[ 11\cdot18 - 8 = 198 - 8 = 190 \checkmark \]

Trying values of x in 11x āˆ’ 8 = 190

x11x āˆ’ 8Equals 190?
16168no
17179no
18190yes
19201no
20212no

Questions

What is x in 11x āˆ’ 8 = 190?

The solution of 11x āˆ’ 8 = 190 is x = 18.

How do you solve 11x āˆ’ 8 = 190?

Add 8 to both sides to get 11x = 198, then divide both sides by 11 to get x = 18.

How do I check the answer?

Replace x by 18: 11(18) āˆ’ 8 = 190, which is 190.

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    Solve 11x āˆ’ 8 = 190: x = 18 (steps and check) | WordGPT