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Solve 12x + 12 = 240

The solution of 12x + 12 = 240 is x = 19.

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The lines y = 12x + 12 and y = 240 meet at x = 19141618202224160180200220240260280300320x = 19y = 12x + 12y = 240
The lines y = 12x + 12 and y = 240 meet at x = 19. 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=24012x + 12 = 240
  2. 2

    Subtract 12 from both sides:

    12x+12−12=240−12 ⇒ 12x=22812x + 12 - 12 = 240 - 12 \ \Rightarrow\ 12x = 228
  3. 3

    Divide both sides by 12:

    12x12=22812 ⇒ x=19\frac{12x}{12} = \frac{228}{12} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    12⋅19+12=228+12=240✓12\cdot19 + 12 = 228 + 12 = 240 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 12 = 240\ \Rightarrow\ x = 19 \]
\[ 12x + 12 = 240 \]
\[ 12x + 12 - 12 = 240 - 12 \ \Rightarrow\ 12x = 228 \]
\[ \frac{12x}{12} = \frac{228}{12} \ \Rightarrow\ x = 19 \]
\[ 12\cdot19 + 12 = 228 + 12 = 240 \checkmark \]

Trying values of x in 12x + 12 = 240

x12x + 12Equals 240?
17216no
18228no
19240yes
20252no
21264no

Questions

What is x in 12x + 12 = 240?

The solution of 12x + 12 = 240 is x = 19.

How do you solve 12x + 12 = 240?

Subtract 12 from both sides to get 12x = 228, then divide both sides by 12 to get x = 19.

How do I check the answer?

Replace x by 19: 12(19) + 12 = 240, which is 240.

Similar equations

    Solve 12x + 12 = 240: x = 19 (steps and check) | WordGPT