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Solve 8x + 7 = 31

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

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The lines y = 8x + 7 and y = 31 meet at x = 3-22468-2020406080x = 3y = 8x + 7y = 31
The lines y = 8x + 7 and y = 31 meet at x = 3. 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.

    8x+7=318x + 7 = 31
  2. 2

    Subtract 7 from both sides:

    8x+7−7=31−7 ⇒ 8x=248x + 7 - 7 = 31 - 7 \ \Rightarrow\ 8x = 24
  3. 3

    Divide both sides by 8:

    8x8=248 ⇒ x=3\frac{8x}{8} = \frac{24}{8} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    8⋅3+7=24+7=31✓8\cdot3 + 7 = 24 + 7 = 31 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 7 = 31\ \Rightarrow\ x = 3 \]
\[ 8x + 7 = 31 \]
\[ 8x + 7 - 7 = 31 - 7 \ \Rightarrow\ 8x = 24 \]
\[ \frac{8x}{8} = \frac{24}{8} \ \Rightarrow\ x = 3 \]
\[ 8\cdot3 + 7 = 24 + 7 = 31 \checkmark \]

Trying values of x in 8x + 7 = 31

x8x + 7Equals 31?
115no
223no
331yes
439no
547no

Questions

What is x in 8x + 7 = 31?

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

How do you solve 8x + 7 = 31?

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

How do I check the answer?

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

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