WordGPT

Solve 2x + 13 = 31

The solution of 2x + 13 = 31 is x = 9.

Explain it step by step in chatMake a short video of it
The lines y = 2x + 13 and y = 31 meet at x = 9468101214202530354045x = 9y = 2x + 13y = 31
The lines y = 2x + 13 and y = 31 meet at x = 9. 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=312x + 13 = 31
  2. 2

    Subtract 13 from both sides:

    2x+13−13=31−13 ⇒ 2x=182x + 13 - 13 = 31 - 13 \ \Rightarrow\ 2x = 18
  3. 3

    Divide both sides by 2:

    2x2=182 ⇒ x=9\frac{2x}{2} = \frac{18}{2} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    2⋅9+13=18+13=31✓2\cdot9 + 13 = 18 + 13 = 31 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 13 = 31\ \Rightarrow\ x = 9 \]
\[ 2x + 13 = 31 \]
\[ 2x + 13 - 13 = 31 - 13 \ \Rightarrow\ 2x = 18 \]
\[ \frac{2x}{2} = \frac{18}{2} \ \Rightarrow\ x = 9 \]
\[ 2\cdot9 + 13 = 18 + 13 = 31 \checkmark \]

Trying values of x in 2x + 13 = 31

x2x + 13Equals 31?
727no
829no
931yes
1033no
1135no

Questions

What is x in 2x + 13 = 31?

The solution of 2x + 13 = 31 is x = 9.

How do you solve 2x + 13 = 31?

Subtract 13 from both sides to get 2x = 18, then divide both sides by 2 to get x = 9.

How do I check the answer?

Replace x by 9: 2(9) + 13 = 31, which is 31.

Similar equations

    Solve 2x + 13 = 31: x = 9 (steps and check) | WordGPT