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Solve 12x + 14 = 254

The solution of 12x + 14 = 254 is x = 20.

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The lines y = 12x + 14 and y = 254 meet at x = 2014161820222426180200220240260280300320340x = 20y = 12x + 14y = 254
The lines y = 12x + 14 and y = 254 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+14=25412x + 14 = 254
  2. 2

    Subtract 14 from both sides:

    12x+14−14=254−14 ⇒ 12x=24012x + 14 - 14 = 254 - 14 \ \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+14=240+14=254✓12\cdot20 + 14 = 240 + 14 = 254 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 14 = 254\ \Rightarrow\ x = 20 \]
\[ 12x + 14 = 254 \]
\[ 12x + 14 - 14 = 254 - 14 \ \Rightarrow\ 12x = 240 \]
\[ \frac{12x}{12} = \frac{240}{12} \ \Rightarrow\ x = 20 \]
\[ 12\cdot20 + 14 = 240 + 14 = 254 \checkmark \]

Trying values of x in 12x + 14 = 254

x12x + 14Equals 254?
18230no
19242no
20254yes
21266no
22278no

Questions

What is x in 12x + 14 = 254?

The solution of 12x + 14 = 254 is x = 20.

How do you solve 12x + 14 = 254?

Subtract 14 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) + 14 = 254, which is 254.

Similar equations

    Solve 12x + 14 = 254: x = 20 (steps and check) | WordGPT