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Solve 2x + 13 = 23

The solution of 2x + 13 = 23 is x = 5.

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The lines y = 2x + 13 and y = 23 meet at x = 5246810101520253035x = 5y = 2x + 13y = 23
The lines y = 2x + 13 and y = 23 meet at x = 5. 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+13=232x + 13 = 23
  2. 2

    Subtract 13 from both sides:

    2x+13−13=23−13 ⇒ 2x=102x + 13 - 13 = 23 - 13 \ \Rightarrow\ 2x = 10
  3. 3

    Divide both sides by 2:

    2x2=102 ⇒ x=5\frac{2x}{2} = \frac{10}{2} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    2⋅5+13=10+13=23✓2\cdot5 + 13 = 10 + 13 = 23 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 13 = 23\ \Rightarrow\ x = 5 \]
\[ 2x + 13 = 23 \]
\[ 2x + 13 - 13 = 23 - 13 \ \Rightarrow\ 2x = 10 \]
\[ \frac{2x}{2} = \frac{10}{2} \ \Rightarrow\ x = 5 \]
\[ 2\cdot5 + 13 = 10 + 13 = 23 \checkmark \]

Trying values of x in 2x + 13 = 23

x2x + 13Equals 23?
319no
421no
523yes
625no
727no

Questions

What is x in 2x + 13 = 23?

The solution of 2x + 13 = 23 is x = 5.

How do you solve 2x + 13 = 23?

Subtract 13 from both sides to get 2x = 10, then divide both sides by 2 to get x = 5.

How do I check the answer?

Replace x by 5: 2(5) + 13 = 23, which is 23.

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    Solve 2x + 13 = 23: x = 5 (steps and check) | WordGPT