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Solve 11x āˆ’ 15 = 95

The solution of 11x āˆ’ 15 = 95 is x = 10.

The lines y = 11x āˆ’ 15 and y = 95 meet at x = 104681012141620406080100120140160x = 10y = 11x āˆ’ 15y = 95
The lines y = 11x āˆ’ 15 and y = 95 meet at x = 10. 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’15=9511x - 15 = 95
  2. 2

    Add 15 to both sides:

    11xāˆ’15+15=95+15 ⇒ 11x=11011x - 15 + 15 = 95 + 15 \ \Rightarrow\ 11x = 110
  3. 3

    Divide both sides by 11:

    11x11=11011 ⇒ x=10\frac{11x}{11} = \frac{110}{11} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    11ā‹…10āˆ’15=110āˆ’15=95āœ“11\cdot10 - 15 = 110 - 15 = 95 \checkmark
LaTeX source of the formulas on this page
\[ 11x - 15 = 95\ \Rightarrow\ x = 10 \]
\[ 11x - 15 = 95 \]
\[ 11x - 15 + 15 = 95 + 15 \ \Rightarrow\ 11x = 110 \]
\[ \frac{11x}{11} = \frac{110}{11} \ \Rightarrow\ x = 10 \]
\[ 11\cdot10 - 15 = 110 - 15 = 95 \checkmark \]

Trying values of x in 11x āˆ’ 15 = 95

x11x āˆ’ 15Equals 95?
873no
984no
1095yes
11106no
12117no

Questions

What is x in 11x āˆ’ 15 = 95?

The solution of 11x āˆ’ 15 = 95 is x = 10.

How do you solve 11x āˆ’ 15 = 95?

Add 15 to both sides to get 11x = 110, then divide both sides by 11 to get x = 10.

How do I check the answer?

Replace x by 10: 11(10) āˆ’ 15 = 95, which is 95.

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    Solve 11x āˆ’ 15 = 95: x = 10 (steps and check) | WordGPT