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Solve 12x + 7 = 31

The solution of 12x + 7 = 31 is x = 2.

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The lines y = 12x + 7 and y = 31 meet at x = 2-4-22468-40-2020406080100x = 2y = 12x + 7y = 31
The lines y = 12x + 7 and y = 31 meet at x = 2. 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.

    12x+7=3112x + 7 = 31
  2. 2

    Subtract 7 from both sides:

    12x+7−7=31−7 ⇒ 12x=2412x + 7 - 7 = 31 - 7 \ \Rightarrow\ 12x = 24
  3. 3

    Divide both sides by 12:

    12x12=2412 ⇒ x=2\frac{12x}{12} = \frac{24}{12} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    12⋅2+7=24+7=31✓12\cdot2 + 7 = 24 + 7 = 31 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 7 = 31\ \Rightarrow\ x = 2 \]
\[ 12x + 7 = 31 \]
\[ 12x + 7 - 7 = 31 - 7 \ \Rightarrow\ 12x = 24 \]
\[ \frac{12x}{12} = \frac{24}{12} \ \Rightarrow\ x = 2 \]
\[ 12\cdot2 + 7 = 24 + 7 = 31 \checkmark \]

Trying values of x in 12x + 7 = 31

x12x + 7Equals 31?
07no
119no
231yes
343no
455no

Questions

What is x in 12x + 7 = 31?

The solution of 12x + 7 = 31 is x = 2.

How do you solve 12x + 7 = 31?

Subtract 7 from both sides to get 12x = 24, then divide both sides by 12 to get x = 2.

How do I check the answer?

Replace x by 2: 12(2) + 7 = 31, which is 31.

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