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Solve 3x + 5 = 11

The solution of 3x + 5 = 11 is x = 2.

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The lines y = 3x + 5 and y = 11 meet at x = 2-4-22468-10-551015202530x = 2y = 3x + 5y = 11
The lines y = 3x + 5 and y = 11 meet at x = 2. 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+5=113x + 5 = 11
  2. 2

    Subtract 5 from both sides:

    3x+5−5=11−5 ⇒ 3x=63x + 5 - 5 = 11 - 5 \ \Rightarrow\ 3x = 6
  3. 3

    Divide both sides by 3:

    3x3=63 ⇒ x=2\frac{3x}{3} = \frac{6}{3} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    3⋅2+5=6+5=11✓3\cdot2 + 5 = 6 + 5 = 11 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 5 = 11\ \Rightarrow\ x = 2 \]
\[ 3x + 5 = 11 \]
\[ 3x + 5 - 5 = 11 - 5 \ \Rightarrow\ 3x = 6 \]
\[ \frac{3x}{3} = \frac{6}{3} \ \Rightarrow\ x = 2 \]
\[ 3\cdot2 + 5 = 6 + 5 = 11 \checkmark \]

Trying values of x in 3x + 5 = 11

x3x + 5Equals 11?
05no
18no
211yes
314no
417no

Questions

What is x in 3x + 5 = 11?

The solution of 3x + 5 = 11 is x = 2.

How do you solve 3x + 5 = 11?

Subtract 5 from both sides to get 3x = 6, then divide both sides by 3 to get x = 2.

How do I check the answer?

Replace x by 2: 3(2) + 5 = 11, which is 11.

Similar equations

    Solve 3x + 5 = 11: x = 2 (steps and check) | WordGPT