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Solve 12x + 15 = 219

The solution of 12x + 15 = 219 is x = 17.

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The lines y = 12x + 15 and y = 219 meet at x = 17121416182022140160180200220240260280300x = 17y = 12x + 15y = 219
The lines y = 12x + 15 and y = 219 meet at x = 17. 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=21912x + 15 = 219
  2. 2

    Subtract 15 from both sides:

    12x+15−15=219−15 ⇒ 12x=20412x + 15 - 15 = 219 - 15 \ \Rightarrow\ 12x = 204
  3. 3

    Divide both sides by 12:

    12x12=20412 ⇒ x=17\frac{12x}{12} = \frac{204}{12} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    12⋅17+15=204+15=219✓12\cdot17 + 15 = 204 + 15 = 219 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 15 = 219\ \Rightarrow\ x = 17 \]
\[ 12x + 15 = 219 \]
\[ 12x + 15 - 15 = 219 - 15 \ \Rightarrow\ 12x = 204 \]
\[ \frac{12x}{12} = \frac{204}{12} \ \Rightarrow\ x = 17 \]
\[ 12\cdot17 + 15 = 204 + 15 = 219 \checkmark \]

Trying values of x in 12x + 15 = 219

x12x + 15Equals 219?
15195no
16207no
17219yes
18231no
19243no

Questions

What is x in 12x + 15 = 219?

The solution of 12x + 15 = 219 is x = 17.

How do you solve 12x + 15 = 219?

Subtract 15 from both sides to get 12x = 204, then divide both sides by 12 to get x = 17.

How do I check the answer?

Replace x by 17: 12(17) + 15 = 219, which is 219.

Similar equations

    Solve 12x + 15 = 219: x = 17 (steps and check) | WordGPT