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Solve 12x + 7 = 187

The solution of 12x + 7 = 187 is x = 15.

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The lines y = 12x + 7 and y = 187 meet at x = 15101214161820120140160180200220240260x = 15y = 12x + 7y = 187
The lines y = 12x + 7 and y = 187 meet at x = 15. 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+7=18712x + 7 = 187
  2. 2

    Subtract 7 from both sides:

    12x+7−7=187−7 ⇒ 12x=18012x + 7 - 7 = 187 - 7 \ \Rightarrow\ 12x = 180
  3. 3

    Divide both sides by 12:

    12x12=18012 ⇒ x=15\frac{12x}{12} = \frac{180}{12} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    12⋅15+7=180+7=187✓12\cdot15 + 7 = 180 + 7 = 187 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 7 = 187\ \Rightarrow\ x = 15 \]
\[ 12x + 7 = 187 \]
\[ 12x + 7 - 7 = 187 - 7 \ \Rightarrow\ 12x = 180 \]
\[ \frac{12x}{12} = \frac{180}{12} \ \Rightarrow\ x = 15 \]
\[ 12\cdot15 + 7 = 180 + 7 = 187 \checkmark \]

Trying values of x in 12x + 7 = 187

x12x + 7Equals 187?
13163no
14175no
15187yes
16199no
17211no

Questions

What is x in 12x + 7 = 187?

The solution of 12x + 7 = 187 is x = 15.

How do you solve 12x + 7 = 187?

Subtract 7 from both sides to get 12x = 180, then divide both sides by 12 to get x = 15.

How do I check the answer?

Replace x by 15: 12(15) + 7 = 187, which is 187.

Similar equations

    Solve 12x + 7 = 187: x = 15 (steps and check) | WordGPT