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Solve 5x + 6 = 31

The solution of 5x + 6 = 31 is x = 5.

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The lines y = 5x + 6 and y = 31 meet at x = 5246810102030405060x = 5y = 5x + 6y = 31
The lines y = 5x + 6 and y = 31 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.

    5x+6=315x + 6 = 31
  2. 2

    Subtract 6 from both sides:

    5x+6−6=31−6 ⇒ 5x=255x + 6 - 6 = 31 - 6 \ \Rightarrow\ 5x = 25
  3. 3

    Divide both sides by 5:

    5x5=255 ⇒ x=5\frac{5x}{5} = \frac{25}{5} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    5⋅5+6=25+6=31✓5\cdot5 + 6 = 25 + 6 = 31 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 6 = 31\ \Rightarrow\ x = 5 \]
\[ 5x + 6 = 31 \]
\[ 5x + 6 - 6 = 31 - 6 \ \Rightarrow\ 5x = 25 \]
\[ \frac{5x}{5} = \frac{25}{5} \ \Rightarrow\ x = 5 \]
\[ 5\cdot5 + 6 = 25 + 6 = 31 \checkmark \]

Trying values of x in 5x + 6 = 31

x5x + 6Equals 31?
321no
426no
531yes
636no
741no

Questions

What is x in 5x + 6 = 31?

The solution of 5x + 6 = 31 is x = 5.

How do you solve 5x + 6 = 31?

Subtract 6 from both sides to get 5x = 25, then divide both sides by 5 to get x = 5.

How do I check the answer?

Replace x by 5: 5(5) + 6 = 31, which is 31.

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    Solve 5x + 6 = 31: x = 5 (steps and check) | WordGPT