WordGPT

Solve 11x + 4 = 224

The solution of 11x + 4 = 224 is x = 20.

Explain it step by step in chatMake a short video of it
The lines y = 11x + 4 and y = 224 meet at x = 2014161820222426160180200220240260280300x = 20y = 11x + 4y = 224
The lines y = 11x + 4 and y = 224 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+4=22411x + 4 = 224
  2. 2

    Subtract 4 from both sides:

    11x+4−4=224−4 ⇒ 11x=22011x + 4 - 4 = 224 - 4 \ \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+4=220+4=224✓11\cdot20 + 4 = 220 + 4 = 224 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 4 = 224\ \Rightarrow\ x = 20 \]
\[ 11x + 4 = 224 \]
\[ 11x + 4 - 4 = 224 - 4 \ \Rightarrow\ 11x = 220 \]
\[ \frac{11x}{11} = \frac{220}{11} \ \Rightarrow\ x = 20 \]
\[ 11\cdot20 + 4 = 220 + 4 = 224 \checkmark \]

Trying values of x in 11x + 4 = 224

x11x + 4Equals 224?
18202no
19213no
20224yes
21235no
22246no

Questions

What is x in 11x + 4 = 224?

The solution of 11x + 4 = 224 is x = 20.

How do you solve 11x + 4 = 224?

Subtract 4 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) + 4 = 224, which is 224.

Similar equations

    Solve 11x + 4 = 224: x = 20 (steps and check) | WordGPT