WordGPT

Solve 11x + 6 = 182

The solution of 11x + 6 = 182 is x = 16.

Explain it step by step in chatMake a short video of it
The lines y = 11x + 6 and y = 182 meet at x = 1610121416182022120140160180200220240260x = 16y = 11x + 6y = 182
The lines y = 11x + 6 and y = 182 meet at x = 16. 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=18211x + 6 = 182
  2. 2

    Subtract 6 from both sides:

    11x+6−6=182−6 ⇒ 11x=17611x + 6 - 6 = 182 - 6 \ \Rightarrow\ 11x = 176
  3. 3

    Divide both sides by 11:

    11x11=17611 ⇒ x=16\frac{11x}{11} = \frac{176}{11} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    11⋅16+6=176+6=182✓11\cdot16 + 6 = 176 + 6 = 182 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 6 = 182\ \Rightarrow\ x = 16 \]
\[ 11x + 6 = 182 \]
\[ 11x + 6 - 6 = 182 - 6 \ \Rightarrow\ 11x = 176 \]
\[ \frac{11x}{11} = \frac{176}{11} \ \Rightarrow\ x = 16 \]
\[ 11\cdot16 + 6 = 176 + 6 = 182 \checkmark \]

Trying values of x in 11x + 6 = 182

x11x + 6Equals 182?
14160no
15171no
16182yes
17193no
18204no

Questions

What is x in 11x + 6 = 182?

The solution of 11x + 6 = 182 is x = 16.

How do you solve 11x + 6 = 182?

Subtract 6 from both sides to get 11x = 176, then divide both sides by 11 to get x = 16.

How do I check the answer?

Replace x by 16: 11(16) + 6 = 182, which is 182.

Similar equations

    Solve 11x + 6 = 182: x = 16 (steps and check) | WordGPT