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Solve 3x + 13 = 31

The solution of 3x + 13 = 31 is x = 6.

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The lines y = 3x + 13 and y = 31 meet at x = 624681012101520253035404550x = 6y = 3x + 13y = 31
The lines y = 3x + 13 and y = 31 meet at x = 6. 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=313x + 13 = 31
  2. 2

    Subtract 13 from both sides:

    3x+13−13=31−13 ⇒ 3x=183x + 13 - 13 = 31 - 13 \ \Rightarrow\ 3x = 18
  3. 3

    Divide both sides by 3:

    3x3=183 ⇒ x=6\frac{3x}{3} = \frac{18}{3} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    3⋅6+13=18+13=31✓3\cdot6 + 13 = 18 + 13 = 31 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 13 = 31\ \Rightarrow\ x = 6 \]
\[ 3x + 13 = 31 \]
\[ 3x + 13 - 13 = 31 - 13 \ \Rightarrow\ 3x = 18 \]
\[ \frac{3x}{3} = \frac{18}{3} \ \Rightarrow\ x = 6 \]
\[ 3\cdot6 + 13 = 18 + 13 = 31 \checkmark \]

Trying values of x in 3x + 13 = 31

x3x + 13Equals 31?
425no
528no
631yes
734no
837no

Questions

What is x in 3x + 13 = 31?

The solution of 3x + 13 = 31 is x = 6.

How do you solve 3x + 13 = 31?

Subtract 13 from both sides to get 3x = 18, then divide both sides by 3 to get x = 6.

How do I check the answer?

Replace x by 6: 3(6) + 13 = 31, which is 31.

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    Solve 3x + 13 = 31: x = 6 (steps and check) | WordGPT