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Solve 3x + 11 = 38

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

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The lines y = 3x + 11 and y = 38 meet at x = 94681012142025303540455055x = 9y = 3x + 11y = 38
The lines y = 3x + 11 and y = 38 meet at x = 9. 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.

    3x+11=383x + 11 = 38
  2. 2

    Subtract 11 from both sides:

    3x+11−11=38−11 ⇒ 3x=273x + 11 - 11 = 38 - 11 \ \Rightarrow\ 3x = 27
  3. 3

    Divide both sides by 3:

    3x3=273 ⇒ x=9\frac{3x}{3} = \frac{27}{3} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    3⋅9+11=27+11=38✓3\cdot9 + 11 = 27 + 11 = 38 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 11 = 38\ \Rightarrow\ x = 9 \]
\[ 3x + 11 = 38 \]
\[ 3x + 11 - 11 = 38 - 11 \ \Rightarrow\ 3x = 27 \]
\[ \frac{3x}{3} = \frac{27}{3} \ \Rightarrow\ x = 9 \]
\[ 3\cdot9 + 11 = 27 + 11 = 38 \checkmark \]

Trying values of x in 3x + 11 = 38

x3x + 11Equals 38?
732no
835no
938yes
1041no
1144no

Questions

What is x in 3x + 11 = 38?

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

How do you solve 3x + 11 = 38?

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

How do I check the answer?

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

Similar equations

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