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Solve 6x + 1 = 31

The solution of 6x + 1 = 31 is x = 5.

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The lines y = 6x + 1 and y = 31 meet at x = 5246810-1010203040506070x = 5y = 6x + 1y = 31
The lines y = 6x + 1 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.

    6x+1=316x + 1 = 31
  2. 2

    Subtract 1 from both sides:

    6x+1−1=31−1 ⇒ 6x=306x + 1 - 1 = 31 - 1 \ \Rightarrow\ 6x = 30
  3. 3

    Divide both sides by 6:

    6x6=306 ⇒ x=5\frac{6x}{6} = \frac{30}{6} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    6⋅5+1=30+1=31✓6\cdot5 + 1 = 30 + 1 = 31 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 1 = 31\ \Rightarrow\ x = 5 \]
\[ 6x + 1 = 31 \]
\[ 6x + 1 - 1 = 31 - 1 \ \Rightarrow\ 6x = 30 \]
\[ \frac{6x}{6} = \frac{30}{6} \ \Rightarrow\ x = 5 \]
\[ 6\cdot5 + 1 = 30 + 1 = 31 \checkmark \]

Trying values of x in 6x + 1 = 31

x6x + 1Equals 31?
319no
425no
531yes
637no
743no

Questions

What is x in 6x + 1 = 31?

The solution of 6x + 1 = 31 is x = 5.

How do you solve 6x + 1 = 31?

Subtract 1 from both sides to get 6x = 30, then divide both sides by 6 to get x = 5.

How do I check the answer?

Replace x by 5: 6(5) + 1 = 31, which is 31.

Similar equations

    Solve 6x + 1 = 31: x = 5 (steps and check) | WordGPT