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Solve 9x + 11 = 182

The solution of 9x + 11 = 182 is x = 19.

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The lines y = 9x + 11 and y = 182 meet at x = 19141618202224120140160180200220240x = 19y = 9x + 11y = 182
The lines y = 9x + 11 and y = 182 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.

    9x+11=1829x + 11 = 182
  2. 2

    Subtract 11 from both sides:

    9x+11−11=182−11 ⇒ 9x=1719x + 11 - 11 = 182 - 11 \ \Rightarrow\ 9x = 171
  3. 3

    Divide both sides by 9:

    9x9=1719 ⇒ x=19\frac{9x}{9} = \frac{171}{9} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    9⋅19+11=171+11=182✓9\cdot19 + 11 = 171 + 11 = 182 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 11 = 182\ \Rightarrow\ x = 19 \]
\[ 9x + 11 = 182 \]
\[ 9x + 11 - 11 = 182 - 11 \ \Rightarrow\ 9x = 171 \]
\[ \frac{9x}{9} = \frac{171}{9} \ \Rightarrow\ x = 19 \]
\[ 9\cdot19 + 11 = 171 + 11 = 182 \checkmark \]

Trying values of x in 9x + 11 = 182

x9x + 11Equals 182?
17164no
18173no
19182yes
20191no
21200no

Questions

What is x in 9x + 11 = 182?

The solution of 9x + 11 = 182 is x = 19.

How do you solve 9x + 11 = 182?

Subtract 11 from both sides to get 9x = 171, then divide both sides by 9 to get x = 19.

How do I check the answer?

Replace x by 19: 9(19) + 11 = 182, which is 182.

Similar equations

    Solve 9x + 11 = 182: x = 19 (steps and check) | WordGPT