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Solve 11x + 4 = 37

The solution of 11x + 4 = 37 is x = 3.

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The lines y = 11x + 4 and y = 37 meet at x = 3-22468-40-2020406080100x = 3y = 11x + 4y = 37
The lines y = 11x + 4 and y = 37 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+4=3711x + 4 = 37
  2. 2

    Subtract 4 from both sides:

    11x+4−4=37−4 ⇒ 11x=3311x + 4 - 4 = 37 - 4 \ \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+4=33+4=37✓11\cdot3 + 4 = 33 + 4 = 37 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 4 = 37\ \Rightarrow\ x = 3 \]
\[ 11x + 4 = 37 \]
\[ 11x + 4 - 4 = 37 - 4 \ \Rightarrow\ 11x = 33 \]
\[ \frac{11x}{11} = \frac{33}{11} \ \Rightarrow\ x = 3 \]
\[ 11\cdot3 + 4 = 33 + 4 = 37 \checkmark \]

Trying values of x in 11x + 4 = 37

x11x + 4Equals 37?
115no
226no
337yes
448no
559no

Questions

What is x in 11x + 4 = 37?

The solution of 11x + 4 = 37 is x = 3.

How do you solve 11x + 4 = 37?

Subtract 4 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) + 4 = 37, which is 37.

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    Solve 11x + 4 = 37: x = 3 (steps and check) | WordGPT