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Solve 12x + 12 = 252

The solution of 12x + 12 = 252 is x = 20.

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The lines y = 12x + 12 and y = 252 meet at x = 2014161820222426180200220240260280300320x = 20y = 12x + 12y = 252
The lines y = 12x + 12 and y = 252 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.

    12x+12=25212x + 12 = 252
  2. 2

    Subtract 12 from both sides:

    12x+12−12=252−12 ⇒ 12x=24012x + 12 - 12 = 252 - 12 \ \Rightarrow\ 12x = 240
  3. 3

    Divide both sides by 12:

    12x12=24012 ⇒ x=20\frac{12x}{12} = \frac{240}{12} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    12⋅20+12=240+12=252✓12\cdot20 + 12 = 240 + 12 = 252 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 12 = 252\ \Rightarrow\ x = 20 \]
\[ 12x + 12 = 252 \]
\[ 12x + 12 - 12 = 252 - 12 \ \Rightarrow\ 12x = 240 \]
\[ \frac{12x}{12} = \frac{240}{12} \ \Rightarrow\ x = 20 \]
\[ 12\cdot20 + 12 = 240 + 12 = 252 \checkmark \]

Trying values of x in 12x + 12 = 252

x12x + 12Equals 252?
18228no
19240no
20252yes
21264no
22276no

Questions

What is x in 12x + 12 = 252?

The solution of 12x + 12 = 252 is x = 20.

How do you solve 12x + 12 = 252?

Subtract 12 from both sides to get 12x = 240, then divide both sides by 12 to get x = 20.

How do I check the answer?

Replace x by 20: 12(20) + 12 = 252, which is 252.

Similar equations

    Solve 12x + 12 = 252: x = 20 (steps and check) | WordGPT