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Solve 9x + 11 = 38

The solution of 9x + 11 = 38 is x = 3.

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The lines y = 9x + 11 and y = 38 meet at x = 3-22468-2020406080100x = 3y = 9x + 11y = 38
The lines y = 9x + 11 and y = 38 meet at x = 3. 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=389x + 11 = 38
  2. 2

    Subtract 11 from both sides:

    9x+11−11=38−11 ⇒ 9x=279x + 11 - 11 = 38 - 11 \ \Rightarrow\ 9x = 27
  3. 3

    Divide both sides by 9:

    9x9=279 ⇒ x=3\frac{9x}{9} = \frac{27}{9} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    9⋅3+11=27+11=38✓9\cdot3 + 11 = 27 + 11 = 38 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 11 = 38\ \Rightarrow\ x = 3 \]
\[ 9x + 11 = 38 \]
\[ 9x + 11 - 11 = 38 - 11 \ \Rightarrow\ 9x = 27 \]
\[ \frac{9x}{9} = \frac{27}{9} \ \Rightarrow\ x = 3 \]
\[ 9\cdot3 + 11 = 27 + 11 = 38 \checkmark \]

Trying values of x in 9x + 11 = 38

x9x + 11Equals 38?
120no
229no
338yes
447no
556no

Questions

What is x in 9x + 11 = 38?

The solution of 9x + 11 = 38 is x = 3.

How do you solve 9x + 11 = 38?

Subtract 11 from both sides to get 9x = 27, then divide both sides by 9 to get x = 3.

How do I check the answer?

Replace x by 3: 9(3) + 11 = 38, which is 38.

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    Solve 9x + 11 = 38: x = 3 (steps and check) | WordGPT