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Solve 5x + 1 = 31

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

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The lines y = 5x + 1 and y = 31 meet at x = 624681012102030405060x = 6y = 5x + 1y = 31
The lines y = 5x + 1 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.

    5x+1=315x + 1 = 31
  2. 2

    Subtract 1 from both sides:

    5x+1−1=31−1 ⇒ 5x=305x + 1 - 1 = 31 - 1 \ \Rightarrow\ 5x = 30
  3. 3

    Divide both sides by 5:

    5x5=305 ⇒ x=6\frac{5x}{5} = \frac{30}{5} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    5⋅6+1=30+1=31✓5\cdot6 + 1 = 30 + 1 = 31 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 1 = 31\ \Rightarrow\ x = 6 \]
\[ 5x + 1 = 31 \]
\[ 5x + 1 - 1 = 31 - 1 \ \Rightarrow\ 5x = 30 \]
\[ \frac{5x}{5} = \frac{30}{5} \ \Rightarrow\ x = 6 \]
\[ 5\cdot6 + 1 = 30 + 1 = 31 \checkmark \]

Trying values of x in 5x + 1 = 31

x5x + 1Equals 31?
421no
526no
631yes
736no
841no

Questions

What is x in 5x + 1 = 31?

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

How do you solve 5x + 1 = 31?

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

How do I check the answer?

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

Similar equations

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