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Solve 12x + 15 = 171

The solution of 12x + 15 = 171 is x = 13.

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The lines y = 12x + 15 and y = 171 meet at x = 1381012141618100120140160180200220240x = 13y = 12x + 15y = 171
The lines y = 12x + 15 and y = 171 meet at x = 13. 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=17112x + 15 = 171
  2. 2

    Subtract 15 from both sides:

    12x+15−15=171−15 ⇒ 12x=15612x + 15 - 15 = 171 - 15 \ \Rightarrow\ 12x = 156
  3. 3

    Divide both sides by 12:

    12x12=15612 ⇒ x=13\frac{12x}{12} = \frac{156}{12} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    12⋅13+15=156+15=171✓12\cdot13 + 15 = 156 + 15 = 171 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 15 = 171\ \Rightarrow\ x = 13 \]
\[ 12x + 15 = 171 \]
\[ 12x + 15 - 15 = 171 - 15 \ \Rightarrow\ 12x = 156 \]
\[ \frac{12x}{12} = \frac{156}{12} \ \Rightarrow\ x = 13 \]
\[ 12\cdot13 + 15 = 156 + 15 = 171 \checkmark \]

Trying values of x in 12x + 15 = 171

x12x + 15Equals 171?
11147no
12159no
13171yes
14183no
15195no

Questions

What is x in 12x + 15 = 171?

The solution of 12x + 15 = 171 is x = 13.

How do you solve 12x + 15 = 171?

Subtract 15 from both sides to get 12x = 156, then divide both sides by 12 to get x = 13.

How do I check the answer?

Replace x by 13: 12(13) + 15 = 171, which is 171.

Similar equations

    Solve 12x + 15 = 171: x = 13 (steps and check) | WordGPT