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Solve 12x + 7 = 247

The solution of 12x + 7 = 247 is x = 20.

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The lines y = 12x + 7 and y = 247 meet at x = 2014161820222426180200220240260280300320x = 20y = 12x + 7y = 247
The lines y = 12x + 7 and y = 247 meet at x = 20. 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=24712x + 7 = 247
  2. 2

    Subtract 7 from both sides:

    12x+7−7=247−7 ⇒ 12x=24012x + 7 - 7 = 247 - 7 \ \Rightarrow\ 12x = 240
  3. 3

    Divide both sides by 12:

    12x12=24012 ⇒ x=20\frac{12x}{12} = \frac{240}{12} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    12⋅20+7=240+7=247✓12\cdot20 + 7 = 240 + 7 = 247 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 7 = 247\ \Rightarrow\ x = 20 \]
\[ 12x + 7 = 247 \]
\[ 12x + 7 - 7 = 247 - 7 \ \Rightarrow\ 12x = 240 \]
\[ \frac{12x}{12} = \frac{240}{12} \ \Rightarrow\ x = 20 \]
\[ 12\cdot20 + 7 = 240 + 7 = 247 \checkmark \]

Trying values of x in 12x + 7 = 247

x12x + 7Equals 247?
18223no
19235no
20247yes
21259no
22271no

Questions

What is x in 12x + 7 = 247?

The solution of 12x + 7 = 247 is x = 20.

How do you solve 12x + 7 = 247?

Subtract 7 from both sides to get 12x = 240, then divide both sides by 12 to get x = 20.

How do I check the answer?

Replace x by 20: 12(20) + 7 = 247, which is 247.

Similar equations

    Solve 12x + 7 = 247: x = 20 (steps and check) | WordGPT