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Solve 2x + 5 = 11

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

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The lines y = 2x + 5 and y = 11 meet at x = 3-22468510152025x = 3y = 2x + 5y = 11
The lines y = 2x + 5 and y = 11 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.

    2x+5=112x + 5 = 11
  2. 2

    Subtract 5 from both sides:

    2x+5−5=11−5 ⇒ 2x=62x + 5 - 5 = 11 - 5 \ \Rightarrow\ 2x = 6
  3. 3

    Divide both sides by 2:

    2x2=62 ⇒ x=3\frac{2x}{2} = \frac{6}{2} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    2⋅3+5=6+5=11✓2\cdot3 + 5 = 6 + 5 = 11 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 5 = 11\ \Rightarrow\ x = 3 \]
\[ 2x + 5 = 11 \]
\[ 2x + 5 - 5 = 11 - 5 \ \Rightarrow\ 2x = 6 \]
\[ \frac{2x}{2} = \frac{6}{2} \ \Rightarrow\ x = 3 \]
\[ 2\cdot3 + 5 = 6 + 5 = 11 \checkmark \]

Trying values of x in 2x + 5 = 11

x2x + 5Equals 11?
17no
29no
311yes
413no
515no

Questions

What is x in 2x + 5 = 11?

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

How do you solve 2x + 5 = 11?

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

How do I check the answer?

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

Similar equations

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