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Solve 12x + 7 = 211

The solution of 12x + 7 = 211 is x = 17.

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The lines y = 12x + 7 and y = 211 meet at x = 17121416182022140160180200220240260280x = 17y = 12x + 7y = 211
The lines y = 12x + 7 and y = 211 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+7=21112x + 7 = 211
  2. 2

    Subtract 7 from both sides:

    12x+7−7=211−7 ⇒ 12x=20412x + 7 - 7 = 211 - 7 \ \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+7=204+7=211✓12\cdot17 + 7 = 204 + 7 = 211 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 7 = 211\ \Rightarrow\ x = 17 \]
\[ 12x + 7 = 211 \]
\[ 12x + 7 - 7 = 211 - 7 \ \Rightarrow\ 12x = 204 \]
\[ \frac{12x}{12} = \frac{204}{12} \ \Rightarrow\ x = 17 \]
\[ 12\cdot17 + 7 = 204 + 7 = 211 \checkmark \]

Trying values of x in 12x + 7 = 211

x12x + 7Equals 211?
15187no
16199no
17211yes
18223no
19235no

Questions

What is x in 12x + 7 = 211?

The solution of 12x + 7 = 211 is x = 17.

How do you solve 12x + 7 = 211?

Subtract 7 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) + 7 = 211, which is 211.

Similar equations

    Solve 12x + 7 = 211: x = 17 (steps and check) | WordGPT