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Solve 9x + 12 = 192

The solution of 9x + 12 = 192 is x = 20.

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The lines y = 9x + 12 and y = 192 meet at x = 2014161820222426140160180200220240x = 20y = 9x + 12y = 192
The lines y = 9x + 12 and y = 192 meet at x = 20. 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=1929x + 12 = 192
  2. 2

    Subtract 12 from both sides:

    9x+12−12=192−12 ⇒ 9x=1809x + 12 - 12 = 192 - 12 \ \Rightarrow\ 9x = 180
  3. 3

    Divide both sides by 9:

    9x9=1809 ⇒ x=20\frac{9x}{9} = \frac{180}{9} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    9⋅20+12=180+12=192✓9\cdot20 + 12 = 180 + 12 = 192 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 12 = 192\ \Rightarrow\ x = 20 \]
\[ 9x + 12 = 192 \]
\[ 9x + 12 - 12 = 192 - 12 \ \Rightarrow\ 9x = 180 \]
\[ \frac{9x}{9} = \frac{180}{9} \ \Rightarrow\ x = 20 \]
\[ 9\cdot20 + 12 = 180 + 12 = 192 \checkmark \]

Trying values of x in 9x + 12 = 192

x9x + 12Equals 192?
18174no
19183no
20192yes
21201no
22210no

Questions

What is x in 9x + 12 = 192?

The solution of 9x + 12 = 192 is x = 20.

How do you solve 9x + 12 = 192?

Subtract 12 from both sides to get 9x = 180, then divide both sides by 9 to get x = 20.

How do I check the answer?

Replace x by 20: 9(20) + 12 = 192, which is 192.

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    Solve 9x + 12 = 192: x = 20 (steps and check) | WordGPT