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Solve 9x + 12 = 30

The solution of 9x + 12 = 30 is x = 2.

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The lines y = 9x + 12 and y = 30 meet at x = 2-4-22468-2020406080x = 2y = 9x + 12y = 30
The lines y = 9x + 12 and y = 30 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.

    9x+12=309x + 12 = 30
  2. 2

    Subtract 12 from both sides:

    9x+12−12=30−12 ⇒ 9x=189x + 12 - 12 = 30 - 12 \ \Rightarrow\ 9x = 18
  3. 3

    Divide both sides by 9:

    9x9=189 ⇒ x=2\frac{9x}{9} = \frac{18}{9} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    9⋅2+12=18+12=30✓9\cdot2 + 12 = 18 + 12 = 30 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 12 = 30\ \Rightarrow\ x = 2 \]
\[ 9x + 12 = 30 \]
\[ 9x + 12 - 12 = 30 - 12 \ \Rightarrow\ 9x = 18 \]
\[ \frac{9x}{9} = \frac{18}{9} \ \Rightarrow\ x = 2 \]
\[ 9\cdot2 + 12 = 18 + 12 = 30 \checkmark \]

Trying values of x in 9x + 12 = 30

x9x + 12Equals 30?
012no
121no
230yes
339no
448no

Questions

What is x in 9x + 12 = 30?

The solution of 9x + 12 = 30 is x = 2.

How do you solve 9x + 12 = 30?

Subtract 12 from both sides to get 9x = 18, then divide both sides by 9 to get x = 2.

How do I check the answer?

Replace x by 2: 9(2) + 12 = 30, which is 30.

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