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Solve 12x + 9 = 33

The solution of 12x + 9 = 33 is x = 2.

The lines y = 12x + 9 and y = 33 meet at x = 2-4-22468-40-2020406080100120x = 2y = 12x + 9y = 33
The lines y = 12x + 9 and y = 33 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+9=3312x + 9 = 33
  2. 2

    Subtract 9 from both sides:

    12x+9−9=33−9 ⇒ 12x=2412x + 9 - 9 = 33 - 9 \ \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+9=24+9=33✓12\cdot2 + 9 = 24 + 9 = 33 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 9 = 33\ \Rightarrow\ x = 2 \]
\[ 12x + 9 = 33 \]
\[ 12x + 9 - 9 = 33 - 9 \ \Rightarrow\ 12x = 24 \]
\[ \frac{12x}{12} = \frac{24}{12} \ \Rightarrow\ x = 2 \]
\[ 12\cdot2 + 9 = 24 + 9 = 33 \checkmark \]

Trying values of x in 12x + 9 = 33

x12x + 9Equals 33?
09no
121no
233yes
345no
457no

Questions

What is x in 12x + 9 = 33?

The solution of 12x + 9 = 33 is x = 2.

How do you solve 12x + 9 = 33?

Subtract 9 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) + 9 = 33, which is 33.

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    Solve 12x + 9 = 33: x = 2 (steps and check) | WordGPT