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Solve 12x + 14 = 242

The solution of 12x + 14 = 242 is x = 19.

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The lines y = 12x + 14 and y = 242 meet at x = 19141618202224160180200220240260280300320x = 19y = 12x + 14y = 242
The lines y = 12x + 14 and y = 242 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+14=24212x + 14 = 242
  2. 2

    Subtract 14 from both sides:

    12x+14−14=242−14 ⇒ 12x=22812x + 14 - 14 = 242 - 14 \ \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+14=228+14=242✓12\cdot19 + 14 = 228 + 14 = 242 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 14 = 242\ \Rightarrow\ x = 19 \]
\[ 12x + 14 = 242 \]
\[ 12x + 14 - 14 = 242 - 14 \ \Rightarrow\ 12x = 228 \]
\[ \frac{12x}{12} = \frac{228}{12} \ \Rightarrow\ x = 19 \]
\[ 12\cdot19 + 14 = 228 + 14 = 242 \checkmark \]

Trying values of x in 12x + 14 = 242

x12x + 14Equals 242?
17218no
18230no
19242yes
20254no
21266no

Questions

What is x in 12x + 14 = 242?

The solution of 12x + 14 = 242 is x = 19.

How do you solve 12x + 14 = 242?

Subtract 14 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) + 14 = 242, which is 242.

Similar equations

    Solve 12x + 14 = 242: x = 19 (steps and check) | WordGPT