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Solve 3x + 10 = 31

The solution of 3x + 10 = 31 is x = 7.

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The lines y = 3x + 10 and y = 31 meet at x = 724681012101520253035404550x = 7y = 3x + 10y = 31
The lines y = 3x + 10 and y = 31 meet at x = 7. 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+10=313x + 10 = 31
  2. 2

    Subtract 10 from both sides:

    3x+10−10=31−10 ⇒ 3x=213x + 10 - 10 = 31 - 10 \ \Rightarrow\ 3x = 21
  3. 3

    Divide both sides by 3:

    3x3=213 ⇒ x=7\frac{3x}{3} = \frac{21}{3} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    3⋅7+10=21+10=31✓3\cdot7 + 10 = 21 + 10 = 31 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 10 = 31\ \Rightarrow\ x = 7 \]
\[ 3x + 10 = 31 \]
\[ 3x + 10 - 10 = 31 - 10 \ \Rightarrow\ 3x = 21 \]
\[ \frac{3x}{3} = \frac{21}{3} \ \Rightarrow\ x = 7 \]
\[ 3\cdot7 + 10 = 21 + 10 = 31 \checkmark \]

Trying values of x in 3x + 10 = 31

x3x + 10Equals 31?
525no
628no
731yes
834no
937no

Questions

What is x in 3x + 10 = 31?

The solution of 3x + 10 = 31 is x = 7.

How do you solve 3x + 10 = 31?

Subtract 10 from both sides to get 3x = 21, then divide both sides by 3 to get x = 7.

How do I check the answer?

Replace x by 7: 3(7) + 10 = 31, which is 31.

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    Solve 3x + 10 = 31: x = 7 (steps and check) | WordGPT