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Solve 3x + 11 = 65

The solution of 3x + 11 = 65 is x = 18.

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The lines y = 3x + 11 and y = 65 meet at x = 1812141618202224455055606570758085x = 18y = 3x + 11y = 65
The lines y = 3x + 11 and y = 65 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.

    3x+11=653x + 11 = 65
  2. 2

    Subtract 11 from both sides:

    3x+11−11=65−11 ⇒ 3x=543x + 11 - 11 = 65 - 11 \ \Rightarrow\ 3x = 54
  3. 3

    Divide both sides by 3:

    3x3=543 ⇒ x=18\frac{3x}{3} = \frac{54}{3} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    3⋅18+11=54+11=65✓3\cdot18 + 11 = 54 + 11 = 65 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 11 = 65\ \Rightarrow\ x = 18 \]
\[ 3x + 11 = 65 \]
\[ 3x + 11 - 11 = 65 - 11 \ \Rightarrow\ 3x = 54 \]
\[ \frac{3x}{3} = \frac{54}{3} \ \Rightarrow\ x = 18 \]
\[ 3\cdot18 + 11 = 54 + 11 = 65 \checkmark \]

Trying values of x in 3x + 11 = 65

x3x + 11Equals 65?
1659no
1762no
1865yes
1968no
2071no

Questions

What is x in 3x + 11 = 65?

The solution of 3x + 11 = 65 is x = 18.

How do you solve 3x + 11 = 65?

Subtract 11 from both sides to get 3x = 54, then divide both sides by 3 to get x = 18.

How do I check the answer?

Replace x by 18: 3(18) + 11 = 65, which is 65.

Similar equations

    Solve 3x + 11 = 65: x = 18 (steps and check) | WordGPT