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Solve 11x + 5 = 225

The solution of 11x + 5 = 225 is x = 20.

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The lines y = 11x + 5 and y = 225 meet at x = 2014161820222426160180200220240260280300x = 20y = 11x + 5y = 225
The lines y = 11x + 5 and y = 225 meet at x = 20. 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 addition, then the multiplication.

    11x+5=22511x + 5 = 225
  2. 2

    Subtract 5 from both sides:

    11x+5−5=225−5 ⇒ 11x=22011x + 5 - 5 = 225 - 5 \ \Rightarrow\ 11x = 220
  3. 3

    Divide both sides by 11:

    11x11=22011 ⇒ x=20\frac{11x}{11} = \frac{220}{11} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    11⋅20+5=220+5=225✓11\cdot20 + 5 = 220 + 5 = 225 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 5 = 225\ \Rightarrow\ x = 20 \]
\[ 11x + 5 = 225 \]
\[ 11x + 5 - 5 = 225 - 5 \ \Rightarrow\ 11x = 220 \]
\[ \frac{11x}{11} = \frac{220}{11} \ \Rightarrow\ x = 20 \]
\[ 11\cdot20 + 5 = 220 + 5 = 225 \checkmark \]

Trying values of x in 11x + 5 = 225

x11x + 5Equals 225?
18203no
19214no
20225yes
21236no
22247no

Questions

What is x in 11x + 5 = 225?

The solution of 11x + 5 = 225 is x = 20.

How do you solve 11x + 5 = 225?

Subtract 5 from both sides to get 11x = 220, then divide both sides by 11 to get x = 20.

How do I check the answer?

Replace x by 20: 11(20) + 5 = 225, which is 225.

Similar equations

    Solve 11x + 5 = 225: x = 20 (steps and check) | WordGPT