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Solve 3x + 7 = 31

The solution of 3x + 7 = 31 is x = 8.

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The lines y = 3x + 7 and y = 31 meet at x = 82468101214101520253035404550x = 8y = 3x + 7y = 31
The lines y = 3x + 7 and y = 31 meet at x = 8. 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+7=313x + 7 = 31
  2. 2

    Subtract 7 from both sides:

    3x+7−7=31−7 ⇒ 3x=243x + 7 - 7 = 31 - 7 \ \Rightarrow\ 3x = 24
  3. 3

    Divide both sides by 3:

    3x3=243 ⇒ x=8\frac{3x}{3} = \frac{24}{3} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    3⋅8+7=24+7=31✓3\cdot8 + 7 = 24 + 7 = 31 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 7 = 31\ \Rightarrow\ x = 8 \]
\[ 3x + 7 = 31 \]
\[ 3x + 7 - 7 = 31 - 7 \ \Rightarrow\ 3x = 24 \]
\[ \frac{3x}{3} = \frac{24}{3} \ \Rightarrow\ x = 8 \]
\[ 3\cdot8 + 7 = 24 + 7 = 31 \checkmark \]

Trying values of x in 3x + 7 = 31

x3x + 7Equals 31?
625no
728no
831yes
934no
1037no

Questions

What is x in 3x + 7 = 31?

The solution of 3x + 7 = 31 is x = 8.

How do you solve 3x + 7 = 31?

Subtract 7 from both sides to get 3x = 24, then divide both sides by 3 to get x = 8.

How do I check the answer?

Replace x by 8: 3(8) + 7 = 31, which is 31.

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    Solve 3x + 7 = 31: x = 8 (steps and check) | WordGPT