WordGPT

Solve 3x + 13 = 22

The solution of 3x + 13 = 22 is x = 3.

Explain it step by step in chatMake a short video of it
The lines y = 3x + 13 and y = 22 meet at x = 3-22468510152025303540x = 3y = 3x + 13y = 22
The lines y = 3x + 13 and y = 22 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.

    3x+13=223x + 13 = 22
  2. 2

    Subtract 13 from both sides:

    3x+13−13=22−13 ⇒ 3x=93x + 13 - 13 = 22 - 13 \ \Rightarrow\ 3x = 9
  3. 3

    Divide both sides by 3:

    3x3=93 ⇒ x=3\frac{3x}{3} = \frac{9}{3} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    3⋅3+13=9+13=22✓3\cdot3 + 13 = 9 + 13 = 22 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 13 = 22\ \Rightarrow\ x = 3 \]
\[ 3x + 13 = 22 \]
\[ 3x + 13 - 13 = 22 - 13 \ \Rightarrow\ 3x = 9 \]
\[ \frac{3x}{3} = \frac{9}{3} \ \Rightarrow\ x = 3 \]
\[ 3\cdot3 + 13 = 9 + 13 = 22 \checkmark \]

Trying values of x in 3x + 13 = 22

x3x + 13Equals 22?
116no
219no
322yes
425no
528no

Questions

What is x in 3x + 13 = 22?

The solution of 3x + 13 = 22 is x = 3.

How do you solve 3x + 13 = 22?

Subtract 13 from both sides to get 3x = 9, then divide both sides by 3 to get x = 3.

How do I check the answer?

Replace x by 3: 3(3) + 13 = 22, which is 22.

Similar equations

    Solve 3x + 13 = 22: x = 3 (steps and check) | WordGPT