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Solve 2x + 1 = 23

The solution of 2x + 1 = 23 is x = 11.

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The lines y = 2x + 1 and y = 23 meet at x = 116810121416101520253035x = 11y = 2x + 1y = 23
The lines y = 2x + 1 and y = 23 meet at x = 11. 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+1=232x + 1 = 23
  2. 2

    Subtract 1 from both sides:

    2x+1−1=23−1 ⇒ 2x=222x + 1 - 1 = 23 - 1 \ \Rightarrow\ 2x = 22
  3. 3

    Divide both sides by 2:

    2x2=222 ⇒ x=11\frac{2x}{2} = \frac{22}{2} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    2⋅11+1=22+1=23✓2\cdot11 + 1 = 22 + 1 = 23 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 1 = 23\ \Rightarrow\ x = 11 \]
\[ 2x + 1 = 23 \]
\[ 2x + 1 - 1 = 23 - 1 \ \Rightarrow\ 2x = 22 \]
\[ \frac{2x}{2} = \frac{22}{2} \ \Rightarrow\ x = 11 \]
\[ 2\cdot11 + 1 = 22 + 1 = 23 \checkmark \]

Trying values of x in 2x + 1 = 23

x2x + 1Equals 23?
919no
1021no
1123yes
1225no
1327no

Questions

What is x in 2x + 1 = 23?

The solution of 2x + 1 = 23 is x = 11.

How do you solve 2x + 1 = 23?

Subtract 1 from both sides to get 2x = 22, then divide both sides by 2 to get x = 11.

How do I check the answer?

Replace x by 11: 2(11) + 1 = 23, which is 23.

Similar equations

    Solve 2x + 1 = 23: x = 11 (steps and check) | WordGPT