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Solve 3x + 1 = 31

The solution of 3x + 1 = 31 is x = 10.

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The lines y = 3x + 1 and y = 31 meet at x = 1046810121416101520253035404550x = 10y = 3x + 1y = 31
The lines y = 3x + 1 and y = 31 meet at x = 10. 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+1=313x + 1 = 31
  2. 2

    Subtract 1 from both sides:

    3x+1−1=31−1 ⇒ 3x=303x + 1 - 1 = 31 - 1 \ \Rightarrow\ 3x = 30
  3. 3

    Divide both sides by 3:

    3x3=303 ⇒ x=10\frac{3x}{3} = \frac{30}{3} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    3⋅10+1=30+1=31✓3\cdot10 + 1 = 30 + 1 = 31 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 1 = 31\ \Rightarrow\ x = 10 \]
\[ 3x + 1 = 31 \]
\[ 3x + 1 - 1 = 31 - 1 \ \Rightarrow\ 3x = 30 \]
\[ \frac{3x}{3} = \frac{30}{3} \ \Rightarrow\ x = 10 \]
\[ 3\cdot10 + 1 = 30 + 1 = 31 \checkmark \]

Trying values of x in 3x + 1 = 31

x3x + 1Equals 31?
825no
928no
1031yes
1134no
1237no

Questions

What is x in 3x + 1 = 31?

The solution of 3x + 1 = 31 is x = 10.

How do you solve 3x + 1 = 31?

Subtract 1 from both sides to get 3x = 30, then divide both sides by 3 to get x = 10.

How do I check the answer?

Replace x by 10: 3(10) + 1 = 31, which is 31.

Similar equations

    Solve 3x + 1 = 31: x = 10 (steps and check) | WordGPT