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Solve 12x + 15 = 243

The solution of 12x + 15 = 243 is x = 19.

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The lines y = 12x + 15 and y = 243 meet at x = 19141618202224160180200220240260280300320x = 19y = 12x + 15y = 243
The lines y = 12x + 15 and y = 243 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+15=24312x + 15 = 243
  2. 2

    Subtract 15 from both sides:

    12x+15−15=243−15 ⇒ 12x=22812x + 15 - 15 = 243 - 15 \ \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+15=228+15=243✓12\cdot19 + 15 = 228 + 15 = 243 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 15 = 243\ \Rightarrow\ x = 19 \]
\[ 12x + 15 = 243 \]
\[ 12x + 15 - 15 = 243 - 15 \ \Rightarrow\ 12x = 228 \]
\[ \frac{12x}{12} = \frac{228}{12} \ \Rightarrow\ x = 19 \]
\[ 12\cdot19 + 15 = 228 + 15 = 243 \checkmark \]

Trying values of x in 12x + 15 = 243

x12x + 15Equals 243?
17219no
18231no
19243yes
20255no
21267no

Questions

What is x in 12x + 15 = 243?

The solution of 12x + 15 = 243 is x = 19.

How do you solve 12x + 15 = 243?

Subtract 15 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) + 15 = 243, which is 243.

Similar equations

    Solve 12x + 15 = 243: x = 19 (steps and check) | WordGPT