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Solve 11x + 5 = 38

The solution of 11x + 5 = 38 is x = 3.

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The lines y = 11x + 5 and y = 38 meet at x = 3-22468-40-2020406080100x = 3y = 11x + 5y = 38
The lines y = 11x + 5 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.

    11x+5=3811x + 5 = 38
  2. 2

    Subtract 5 from both sides:

    11x+5−5=38−5 ⇒ 11x=3311x + 5 - 5 = 38 - 5 \ \Rightarrow\ 11x = 33
  3. 3

    Divide both sides by 11:

    11x11=3311 ⇒ x=3\frac{11x}{11} = \frac{33}{11} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    11⋅3+5=33+5=38✓11\cdot3 + 5 = 33 + 5 = 38 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 5 = 38\ \Rightarrow\ x = 3 \]
\[ 11x + 5 = 38 \]
\[ 11x + 5 - 5 = 38 - 5 \ \Rightarrow\ 11x = 33 \]
\[ \frac{11x}{11} = \frac{33}{11} \ \Rightarrow\ x = 3 \]
\[ 11\cdot3 + 5 = 33 + 5 = 38 \checkmark \]

Trying values of x in 11x + 5 = 38

x11x + 5Equals 38?
116no
227no
338yes
449no
560no

Questions

What is x in 11x + 5 = 38?

The solution of 11x + 5 = 38 is x = 3.

How do you solve 11x + 5 = 38?

Subtract 5 from both sides to get 11x = 33, then divide both sides by 11 to get x = 3.

How do I check the answer?

Replace x by 3: 11(3) + 5 = 38, which is 38.

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    Solve 11x + 5 = 38: x = 3 (steps and check) | WordGPT