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Solve 12x + 1 = 205

The solution of 12x + 1 = 205 is x = 17.

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The lines y = 12x + 1 and y = 205 meet at x = 17121416182022120140160180200220240260280x = 17y = 12x + 1y = 205
The lines y = 12x + 1 and y = 205 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+1=20512x + 1 = 205
  2. 2

    Subtract 1 from both sides:

    12x+1−1=205−1 ⇒ 12x=20412x + 1 - 1 = 205 - 1 \ \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+1=204+1=205✓12\cdot17 + 1 = 204 + 1 = 205 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 1 = 205\ \Rightarrow\ x = 17 \]
\[ 12x + 1 = 205 \]
\[ 12x + 1 - 1 = 205 - 1 \ \Rightarrow\ 12x = 204 \]
\[ \frac{12x}{12} = \frac{204}{12} \ \Rightarrow\ x = 17 \]
\[ 12\cdot17 + 1 = 204 + 1 = 205 \checkmark \]

Trying values of x in 12x + 1 = 205

x12x + 1Equals 205?
15181no
16193no
17205yes
18217no
19229no

Questions

What is x in 12x + 1 = 205?

The solution of 12x + 1 = 205 is x = 17.

How do you solve 12x + 1 = 205?

Subtract 1 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) + 1 = 205, which is 205.

Similar equations

    Solve 12x + 1 = 205: x = 17 (steps and check) | WordGPT