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Solve 3x + 4 = 31

The solution of 3x + 4 = 31 is x = 9.

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The lines y = 3x + 4 and y = 31 meet at x = 9468101214101520253035404550x = 9y = 3x + 4y = 31
The lines y = 3x + 4 and y = 31 meet at x = 9. 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+4=313x + 4 = 31
  2. 2

    Subtract 4 from both sides:

    3x+4−4=31−4 ⇒ 3x=273x + 4 - 4 = 31 - 4 \ \Rightarrow\ 3x = 27
  3. 3

    Divide both sides by 3:

    3x3=273 ⇒ x=9\frac{3x}{3} = \frac{27}{3} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    3⋅9+4=27+4=31✓3\cdot9 + 4 = 27 + 4 = 31 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 4 = 31\ \Rightarrow\ x = 9 \]
\[ 3x + 4 = 31 \]
\[ 3x + 4 - 4 = 31 - 4 \ \Rightarrow\ 3x = 27 \]
\[ \frac{3x}{3} = \frac{27}{3} \ \Rightarrow\ x = 9 \]
\[ 3\cdot9 + 4 = 27 + 4 = 31 \checkmark \]

Trying values of x in 3x + 4 = 31

x3x + 4Equals 31?
725no
828no
931yes
1034no
1137no

Questions

What is x in 3x + 4 = 31?

The solution of 3x + 4 = 31 is x = 9.

How do you solve 3x + 4 = 31?

Subtract 4 from both sides to get 3x = 27, then divide both sides by 3 to get x = 9.

How do I check the answer?

Replace x by 9: 3(9) + 4 = 31, which is 31.

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    Solve 3x + 4 = 31: x = 9 (steps and check) | WordGPT