WordGPT

Solve 11x + 6 = 83

The solution of 11x + 6 = 83 is x = 7.

Explain it step by step in chatMake a short video of it
The lines y = 11x + 6 and y = 83 meet at x = 72468101220406080100120140160x = 7y = 11x + 6y = 83
The lines y = 11x + 6 and y = 83 meet at x = 7. 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+6=8311x + 6 = 83
  2. 2

    Subtract 6 from both sides:

    11x+6−6=83−6 ⇒ 11x=7711x + 6 - 6 = 83 - 6 \ \Rightarrow\ 11x = 77
  3. 3

    Divide both sides by 11:

    11x11=7711 ⇒ x=7\frac{11x}{11} = \frac{77}{11} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    11⋅7+6=77+6=83✓11\cdot7 + 6 = 77 + 6 = 83 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 6 = 83\ \Rightarrow\ x = 7 \]
\[ 11x + 6 = 83 \]
\[ 11x + 6 - 6 = 83 - 6 \ \Rightarrow\ 11x = 77 \]
\[ \frac{11x}{11} = \frac{77}{11} \ \Rightarrow\ x = 7 \]
\[ 11\cdot7 + 6 = 77 + 6 = 83 \checkmark \]

Trying values of x in 11x + 6 = 83

x11x + 6Equals 83?
561no
672no
783yes
894no
9105no

Questions

What is x in 11x + 6 = 83?

The solution of 11x + 6 = 83 is x = 7.

How do you solve 11x + 6 = 83?

Subtract 6 from both sides to get 11x = 77, then divide both sides by 11 to get x = 7.

How do I check the answer?

Replace x by 7: 11(7) + 6 = 83, which is 83.

Similar equations

    Solve 11x + 6 = 83: x = 7 (steps and check) | WordGPT