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Solve 6x + 13 = 31

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

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The lines y = 6x + 13 and y = 31 meet at x = 3-22468-1010203040506070x = 3y = 6x + 13y = 31
The lines y = 6x + 13 and y = 31 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.

    6x+13=316x + 13 = 31
  2. 2

    Subtract 13 from both sides:

    6x+13−13=31−13 ⇒ 6x=186x + 13 - 13 = 31 - 13 \ \Rightarrow\ 6x = 18
  3. 3

    Divide both sides by 6:

    6x6=186 ⇒ x=3\frac{6x}{6} = \frac{18}{6} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    6⋅3+13=18+13=31✓6\cdot3 + 13 = 18 + 13 = 31 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 13 = 31\ \Rightarrow\ x = 3 \]
\[ 6x + 13 = 31 \]
\[ 6x + 13 - 13 = 31 - 13 \ \Rightarrow\ 6x = 18 \]
\[ \frac{6x}{6} = \frac{18}{6} \ \Rightarrow\ x = 3 \]
\[ 6\cdot3 + 13 = 18 + 13 = 31 \checkmark \]

Trying values of x in 6x + 13 = 31

x6x + 13Equals 31?
119no
225no
331yes
437no
543no

Questions

What is x in 6x + 13 = 31?

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

How do you solve 6x + 13 = 31?

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

How do I check the answer?

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

Similar equations

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