WordGPT

Solve 11x + 5 = 214

The solution of 11x + 5 = 214 is x = 19.

Explain it step by step in chatMake a short video of it
The lines y = 11x + 5 and y = 214 meet at x = 19141618202224140160180200220240260280x = 19y = 11x + 5y = 214
The lines y = 11x + 5 and y = 214 meet at x = 19. 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=21411x + 5 = 214
  2. 2

    Subtract 5 from both sides:

    11x+5−5=214−5 ⇒ 11x=20911x + 5 - 5 = 214 - 5 \ \Rightarrow\ 11x = 209
  3. 3

    Divide both sides by 11:

    11x11=20911 ⇒ x=19\frac{11x}{11} = \frac{209}{11} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    11⋅19+5=209+5=214✓11\cdot19 + 5 = 209 + 5 = 214 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 5 = 214\ \Rightarrow\ x = 19 \]
\[ 11x + 5 = 214 \]
\[ 11x + 5 - 5 = 214 - 5 \ \Rightarrow\ 11x = 209 \]
\[ \frac{11x}{11} = \frac{209}{11} \ \Rightarrow\ x = 19 \]
\[ 11\cdot19 + 5 = 209 + 5 = 214 \checkmark \]

Trying values of x in 11x + 5 = 214

x11x + 5Equals 214?
17192no
18203no
19214yes
20225no
21236no

Questions

What is x in 11x + 5 = 214?

The solution of 11x + 5 = 214 is x = 19.

How do you solve 11x + 5 = 214?

Subtract 5 from both sides to get 11x = 209, then divide both sides by 11 to get x = 19.

How do I check the answer?

Replace x by 19: 11(19) + 5 = 214, which is 214.

Similar equations

    Solve 11x + 5 = 214: x = 19 (steps and check) | WordGPT