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Solve 11x + 3 = 201

The solution of 11x + 3 = 201 is x = 18.

The lines y = 11x + 3 and y = 201 meet at x = 1812141618202224140160180200220240260280x = 18y = 11x + 3y = 201
The lines y = 11x + 3 and y = 201 meet at x = 18. 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+3=20111x + 3 = 201
  2. 2

    Subtract 3 from both sides:

    11x+3−3=201−3 ⇒ 11x=19811x + 3 - 3 = 201 - 3 \ \Rightarrow\ 11x = 198
  3. 3

    Divide both sides by 11:

    11x11=19811 ⇒ x=18\frac{11x}{11} = \frac{198}{11} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    11⋅18+3=198+3=201✓11\cdot18 + 3 = 198 + 3 = 201 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 3 = 201\ \Rightarrow\ x = 18 \]
\[ 11x + 3 = 201 \]
\[ 11x + 3 - 3 = 201 - 3 \ \Rightarrow\ 11x = 198 \]
\[ \frac{11x}{11} = \frac{198}{11} \ \Rightarrow\ x = 18 \]
\[ 11\cdot18 + 3 = 198 + 3 = 201 \checkmark \]

Trying values of x in 11x + 3 = 201

x11x + 3Equals 201?
16179no
17190no
18201yes
19212no
20223no

Questions

What is x in 11x + 3 = 201?

The solution of 11x + 3 = 201 is x = 18.

How do you solve 11x + 3 = 201?

Subtract 3 from both sides to get 11x = 198, then divide both sides by 11 to get x = 18.

How do I check the answer?

Replace x by 18: 11(18) + 3 = 201, which is 201.

Similar equations

    Solve 11x + 3 = 201: x = 18 (steps and check) | WordGPT