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Solve 12x + 14 = 230

The solution of 12x + 14 = 230 is x = 18.

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The lines y = 12x + 14 and y = 230 meet at x = 1812141618202224160180200220240260280300x = 18y = 12x + 14y = 230
The lines y = 12x + 14 and y = 230 meet at x = 18. 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=23012x + 14 = 230
  2. 2

    Subtract 14 from both sides:

    12x+14−14=230−14 ⇒ 12x=21612x + 14 - 14 = 230 - 14 \ \Rightarrow\ 12x = 216
  3. 3

    Divide both sides by 12:

    12x12=21612 ⇒ x=18\frac{12x}{12} = \frac{216}{12} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    12⋅18+14=216+14=230✓12\cdot18 + 14 = 216 + 14 = 230 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 14 = 230\ \Rightarrow\ x = 18 \]
\[ 12x + 14 = 230 \]
\[ 12x + 14 - 14 = 230 - 14 \ \Rightarrow\ 12x = 216 \]
\[ \frac{12x}{12} = \frac{216}{12} \ \Rightarrow\ x = 18 \]
\[ 12\cdot18 + 14 = 216 + 14 = 230 \checkmark \]

Trying values of x in 12x + 14 = 230

x12x + 14Equals 230?
16206no
17218no
18230yes
19242no
20254no

Questions

What is x in 12x + 14 = 230?

The solution of 12x + 14 = 230 is x = 18.

How do you solve 12x + 14 = 230?

Subtract 14 from both sides to get 12x = 216, then divide both sides by 12 to get x = 18.

How do I check the answer?

Replace x by 18: 12(18) + 14 = 230, which is 230.

Similar equations

    Solve 12x + 14 = 230: x = 18 (steps and check) | WordGPT